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Finding the Fourth Proportional to 96.32, 132.60 and 95.98

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Solution

The fourth proportional to 96.32, 132.60 and 95.98 is: 132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.32 : 132.60 = 95.98 : x
  2. Step 2: Convert to fraction form
    96.32/132.60 = 95.98/x
  3. Step 3: Cross multiply
    96.32x = 132.60 × 95.98
  4. Step 4: Simplify right side
    96.32x = 12,726.95
  5. Step 5: Solve for x
    x = 12,726.95/96.32
  6. Step 6: Final answer
    x = 132.13

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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.