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Finding the Fourth Proportional to 99.38, 148.88 and 65.16

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Solution

The fourth proportional to 99.38, 148.88 and 65.16 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 148.88 = 65.16 : x
  2. Step 2: Convert to fraction form
    99.38/148.88 = 65.16/x
  3. Step 3: Cross multiply
    99.38x = 148.88 × 65.16
  4. Step 4: Simplify right side
    99.38x = 9,701.02
  5. Step 5: Solve for x
    x = 9,701.02/99.38
  6. Step 6: Final answer
    x = 97.62

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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.