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Finding the Fourth Proportional to 74.76, 102.98 and 58.38

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Solution

The fourth proportional to 74.76, 102.98 and 58.38 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 102.98 = 58.38 : x
  2. Step 2: Convert to fraction form
    74.76/102.98 = 58.38/x
  3. Step 3: Cross multiply
    74.76x = 102.98 × 58.38
  4. Step 4: Simplify right side
    74.76x = 6,011.97
  5. Step 5: Solve for x
    x = 6,011.97/74.76
  6. Step 6: Final answer
    x = 80.42

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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.