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Finding the Fourth Proportional to 154.02, 212.06 and 130.65

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Solution

The fourth proportional to 154.02, 212.06 and 130.65 is: 179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 212.06 = 130.65 : x
  2. Step 2: Convert to fraction form
    154.02/212.06 = 130.65/x
  3. Step 3: Cross multiply
    154.02x = 212.06 × 130.65
  4. Step 4: Simplify right side
    154.02x = 27,705.52
  5. Step 5: Solve for x
    x = 27,705.52/154.02
  6. Step 6: Final answer
    x = 179.89

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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.