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Finding the Fourth Proportional to 74.31, 102.58 and 49.76

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Solution

The fourth proportional to 74.31, 102.58 and 49.76 is: 68.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 102.58 = 49.76 : x
  2. Step 2: Convert to fraction form
    74.31/102.58 = 49.76/x
  3. Step 3: Cross multiply
    74.31x = 102.58 × 49.76
  4. Step 4: Simplify right side
    74.31x = 5,104.13
  5. Step 5: Solve for x
    x = 5,104.13/74.31
  6. Step 6: Final answer
    x = 68.69

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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.