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Finding the Fourth Proportional to 74.72, 103.16 and 52.65

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Solution

The fourth proportional to 74.72, 103.16 and 52.65 is: 72.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.72 : 103.16 = 52.65 : x
  2. Step 2: Convert to fraction form
    74.72/103.16 = 52.65/x
  3. Step 3: Cross multiply
    74.72x = 103.16 × 52.65
  4. Step 4: Simplify right side
    74.72x = 5,430.59
  5. Step 5: Solve for x
    x = 5,430.59/74.72
  6. Step 6: Final answer
    x = 72.68

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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.