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Finding the Fourth Proportional to 89.32, 133.92 and 58.83

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Solution

The fourth proportional to 89.32, 133.92 and 58.83 is: 88.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.32 : 133.92 = 58.83 : x
  2. Step 2: Convert to fraction form
    89.32/133.92 = 58.83/x
  3. Step 3: Cross multiply
    89.32x = 133.92 × 58.83
  4. Step 4: Simplify right side
    89.32x = 7,877.76
  5. Step 5: Solve for x
    x = 7,877.76/89.32
  6. Step 6: Final answer
    x = 88.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.