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Finding the Fourth Proportional to 95.80, 132.13 and 58.91

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Solution

The fourth proportional to 95.80, 132.13 and 58.91 is: 81.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.80 : 132.13 = 58.91 : x
  2. Step 2: Convert to fraction form
    95.80/132.13 = 58.91/x
  3. Step 3: Cross multiply
    95.80x = 132.13 × 58.91
  4. Step 4: Simplify right side
    95.80x = 7,783.12
  5. Step 5: Solve for x
    x = 7,783.12/95.80
  6. Step 6: Final answer
    x = 81.25

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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.