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Finding the Fourth Proportional to 74.90, 103.23 and 58.57

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Solution

The fourth proportional to 74.90, 103.23 and 58.57 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 103.23 = 58.57 : x
  2. Step 2: Convert to fraction form
    74.90/103.23 = 58.57/x
  3. Step 3: Cross multiply
    74.90x = 103.23 × 58.57
  4. Step 4: Simplify right side
    74.90x = 6,045.92
  5. Step 5: Solve for x
    x = 6,045.92/74.90
  6. Step 6: Final answer
    x = 80.72

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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.