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Finding the Fourth Proportional to 56.40, 77.72 and 54.38

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Solution

The fourth proportional to 56.40, 77.72 and 54.38 is: 74.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.40 : 77.72 = 54.38 : x
  2. Step 2: Convert to fraction form
    56.40/77.72 = 54.38/x
  3. Step 3: Cross multiply
    56.40x = 77.72 × 54.38
  4. Step 4: Simplify right side
    56.40x = 4,225.75
  5. Step 5: Solve for x
    x = 4,225.75/56.40
  6. Step 6: Final answer
    x = 74.92

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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.