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Finding the Fourth Proportional to 59.56, 89.84 and 58.24

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Solution

The fourth proportional to 59.56, 89.84 and 58.24 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.56 : 89.84 = 58.24 : x
  2. Step 2: Convert to fraction form
    59.56/89.84 = 58.24/x
  3. Step 3: Cross multiply
    59.56x = 89.84 × 58.24
  4. Step 4: Simplify right side
    59.56x = 5,232.28
  5. Step 5: Solve for x
    x = 5,232.28/59.56
  6. Step 6: Final answer
    x = 87.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.