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Finding the Fourth Proportional to 65.32, 89.65 and 63.52

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Solution

The fourth proportional to 65.32, 89.65 and 63.52 is: 87.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 89.65 = 63.52 : x
  2. Step 2: Convert to fraction form
    65.32/89.65 = 63.52/x
  3. Step 3: Cross multiply
    65.32x = 89.65 × 63.52
  4. Step 4: Simplify right side
    65.32x = 5,694.25
  5. Step 5: Solve for x
    x = 5,694.25/65.32
  6. Step 6: Final answer
    x = 87.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.