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Finding the Fourth Proportional to 56.18, 77.55 and 37.79

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Solution

The fourth proportional to 56.18, 77.55 and 37.79 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.18 : 77.55 = 37.79 : x
  2. Step 2: Convert to fraction form
    56.18/77.55 = 37.79/x
  3. Step 3: Cross multiply
    56.18x = 77.55 × 37.79
  4. Step 4: Simplify right side
    56.18x = 2,930.23
  5. Step 5: Solve for x
    x = 2,930.23/56.18
  6. Step 6: Final answer
    x = 52.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.