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Finding the Fourth Proportional to 154.59, 212.94 and 130.02

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Solution

The fourth proportional to 154.59, 212.94 and 130.02 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.59 : 212.94 = 130.02 : x
  2. Step 2: Convert to fraction form
    154.59/212.94 = 130.02/x
  3. Step 3: Cross multiply
    154.59x = 212.94 × 130.02
  4. Step 4: Simplify right side
    154.59x = 27,686.46
  5. Step 5: Solve for x
    x = 27,686.46/154.59
  6. Step 6: Final answer
    x = 179.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.