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Finding the Fourth Proportional to 55.24, 82.31 and 52.90

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Solution

The fourth proportional to 55.24, 82.31 and 52.90 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.24 : 82.31 = 52.90 : x
  2. Step 2: Convert to fraction form
    55.24/82.31 = 52.90/x
  3. Step 3: Cross multiply
    55.24x = 82.31 × 52.90
  4. Step 4: Simplify right side
    55.24x = 4,354.20
  5. Step 5: Solve for x
    x = 4,354.20/55.24
  6. Step 6: Final answer
    x = 78.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.