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Finding the Fourth Proportional to 59.10, 81.45 and 55.38

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Solution

The fourth proportional to 59.10, 81.45 and 55.38 is: 76.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 81.45 = 55.38 : x
  2. Step 2: Convert to fraction form
    59.10/81.45 = 55.38/x
  3. Step 3: Cross multiply
    59.10x = 81.45 × 55.38
  4. Step 4: Simplify right side
    59.10x = 4,510.70
  5. Step 5: Solve for x
    x = 4,510.70/59.10
  6. Step 6: Final answer
    x = 76.32

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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.