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Finding the Fourth Proportional to 56.18, 77.47 and 52.54

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Solution

The fourth proportional to 56.18, 77.47 and 52.54 is: 72.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.18 : 77.47 = 52.54 : x
  2. Step 2: Convert to fraction form
    56.18/77.47 = 52.54/x
  3. Step 3: Cross multiply
    56.18x = 77.47 × 52.54
  4. Step 4: Simplify right side
    56.18x = 4,069.95
  5. Step 5: Solve for x
    x = 4,069.95/56.18
  6. Step 6: Final answer
    x = 72.44

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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.