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Finding the Fourth Proportional to 56.47, 77.88 and 49.18

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Solution

The fourth proportional to 56.47, 77.88 and 49.18 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.47 : 77.88 = 49.18 : x
  2. Step 2: Convert to fraction form
    56.47/77.88 = 49.18/x
  3. Step 3: Cross multiply
    56.47x = 77.88 × 49.18
  4. Step 4: Simplify right side
    56.47x = 3,830.14
  5. Step 5: Solve for x
    x = 3,830.14/56.47
  6. Step 6: Final answer
    x = 67.83

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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.