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Finding the Fourth Proportional to 123.68, 185.72 and 99.32

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Solution

The fourth proportional to 123.68, 185.72 and 99.32 is: 149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 185.72 = 99.32 : x
  2. Step 2: Convert to fraction form
    123.68/185.72 = 99.32/x
  3. Step 3: Cross multiply
    123.68x = 185.72 × 99.32
  4. Step 4: Simplify right side
    123.68x = 18,445.71
  5. Step 5: Solve for x
    x = 18,445.71/123.68
  6. Step 6: Final answer
    x = 149.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.