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Finding the Fourth Proportional to 123.84, 170.96 and 72.16

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Solution

The fourth proportional to 123.84, 170.96 and 72.16 is: 99.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 170.96 = 72.16 : x
  2. Step 2: Convert to fraction form
    123.84/170.96 = 72.16/x
  3. Step 3: Cross multiply
    123.84x = 170.96 × 72.16
  4. Step 4: Simplify right side
    123.84x = 12,336.47
  5. Step 5: Solve for x
    x = 12,336.47/123.84
  6. Step 6: Final answer
    x = 99.62

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