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Finding the Fourth Proportional to 95.52, 131.86 and 64.48

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Solution

The fourth proportional to 95.52, 131.86 and 64.48 is: 89.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.52 : 131.86 = 64.48 : x
  2. Step 2: Convert to fraction form
    95.52/131.86 = 64.48/x
  3. Step 3: Cross multiply
    95.52x = 131.86 × 64.48
  4. Step 4: Simplify right side
    95.52x = 8,502.33
  5. Step 5: Solve for x
    x = 8,502.33/95.52
  6. Step 6: Final answer
    x = 89.01

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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.