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Finding the Fourth Proportional to 96.51, 132.91 and 71.91

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Solution

The fourth proportional to 96.51, 132.91 and 71.91 is: 99.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.51 : 132.91 = 71.91 : x
  2. Step 2: Convert to fraction form
    96.51/132.91 = 71.91/x
  3. Step 3: Cross multiply
    96.51x = 132.91 × 71.91
  4. Step 4: Simplify right side
    96.51x = 9,557.38
  5. Step 5: Solve for x
    x = 9,557.38/96.51
  6. Step 6: Final answer
    x = 99.03

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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.