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Finding the Fourth Proportional to 99.62, 137.52 and 65.12

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Solution

The fourth proportional to 99.62, 137.52 and 65.12 is: 89.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.62 : 137.52 = 65.12 : x
  2. Step 2: Convert to fraction form
    99.62/137.52 = 65.12/x
  3. Step 3: Cross multiply
    99.62x = 137.52 × 65.12
  4. Step 4: Simplify right side
    99.62x = 8,955.30
  5. Step 5: Solve for x
    x = 8,955.30/99.62
  6. Step 6: Final answer
    x = 89.89

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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.