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Finding the Fourth Proportional to 56.18, 77.57 and 39.83

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Solution

The fourth proportional to 56.18, 77.57 and 39.83 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.18 : 77.57 = 39.83 : x
  2. Step 2: Convert to fraction form
    56.18/77.57 = 39.83/x
  3. Step 3: Cross multiply
    56.18x = 77.57 × 39.83
  4. Step 4: Simplify right side
    56.18x = 3,089.18
  5. Step 5: Solve for x
    x = 3,089.18/56.18
  6. Step 6: Final answer
    x = 54.98

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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.