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Finding the Fourth Proportional to 102.32, 152.62 and 99.12

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Solution

The fourth proportional to 102.32, 152.62 and 99.12 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 152.62 = 99.12 : x
  2. Step 2: Convert to fraction form
    102.32/152.62 = 99.12/x
  3. Step 3: Cross multiply
    102.32x = 152.62 × 99.12
  4. Step 4: Simplify right side
    102.32x = 15,127.69
  5. Step 5: Solve for x
    x = 15,127.69/102.32
  6. Step 6: Final answer
    x = 147.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.