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Finding the Fourth Proportional to 95.52, 131.84 and 64.47

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Solution

The fourth proportional to 95.52, 131.84 and 64.47 is: 88.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.52 : 131.84 = 64.47 : x
  2. Step 2: Convert to fraction form
    95.52/131.84 = 64.47/x
  3. Step 3: Cross multiply
    95.52x = 131.84 × 64.47
  4. Step 4: Simplify right side
    95.52x = 8,499.72
  5. Step 5: Solve for x
    x = 8,499.72/95.52
  6. Step 6: Final answer
    x = 88.98

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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.