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Finding the Fourth Proportional to 69.62, 95.88 and 64.76

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Solution

The fourth proportional to 69.62, 95.88 and 64.76 is: 89.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.62 : 95.88 = 64.76 : x
  2. Step 2: Convert to fraction form
    69.62/95.88 = 64.76/x
  3. Step 3: Cross multiply
    69.62x = 95.88 × 64.76
  4. Step 4: Simplify right side
    69.62x = 6,209.19
  5. Step 5: Solve for x
    x = 6,209.19/69.62
  6. Step 6: Final answer
    x = 89.19

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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.