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Finding the Fourth Proportional to 76.13, 105.02 and 54.31

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Solution

The fourth proportional to 76.13, 105.02 and 54.31 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 105.02 = 54.31 : x
  2. Step 2: Convert to fraction form
    76.13/105.02 = 54.31/x
  3. Step 3: Cross multiply
    76.13x = 105.02 × 54.31
  4. Step 4: Simplify right side
    76.13x = 5,702.84
  5. Step 5: Solve for x
    x = 5,702.84/76.13
  6. Step 6: Final answer
    x = 74.91

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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.