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Finding the Fourth Proportional to 99.64, 137.52 and 65.14

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Solution

The fourth proportional to 99.64, 137.52 and 65.14 is: 89.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.64 : 137.52 = 65.14 : x
  2. Step 2: Convert to fraction form
    99.64/137.52 = 65.14/x
  3. Step 3: Cross multiply
    99.64x = 137.52 × 65.14
  4. Step 4: Simplify right side
    99.64x = 8,958.05
  5. Step 5: Solve for x
    x = 8,958.05/99.64
  6. Step 6: Final answer
    x = 89.90

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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.