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Finding the Fourth Proportional to 154.02, 212.47 and 91.83

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Solution

The fourth proportional to 154.02, 212.47 and 91.83 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 212.47 = 91.83 : x
  2. Step 2: Convert to fraction form
    154.02/212.47 = 91.83/x
  3. Step 3: Cross multiply
    154.02x = 212.47 × 91.83
  4. Step 4: Simplify right side
    154.02x = 19,511.12
  5. Step 5: Solve for x
    x = 19,511.12/154.02
  6. Step 6: Final answer
    x = 126.68

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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.