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Finding the Fourth Proportional to 59.18, 88.96 and 54.72

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Solution

The fourth proportional to 59.18, 88.96 and 54.72 is: 82.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.18 : 88.96 = 54.72 : x
  2. Step 2: Convert to fraction form
    59.18/88.96 = 54.72/x
  3. Step 3: Cross multiply
    59.18x = 88.96 × 54.72
  4. Step 4: Simplify right side
    59.18x = 4,867.89
  5. Step 5: Solve for x
    x = 4,867.89/59.18
  6. Step 6: Final answer
    x = 82.26

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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.