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Finding the Fourth Proportional to 74.57, 102.15 and 74.16

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Solution

The fourth proportional to 74.57, 102.15 and 74.16 is: 101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.57 : 102.15 = 74.16 : x
  2. Step 2: Convert to fraction form
    74.57/102.15 = 74.16/x
  3. Step 3: Cross multiply
    74.57x = 102.15 × 74.16
  4. Step 4: Simplify right side
    74.57x = 7,575.44
  5. Step 5: Solve for x
    x = 7,575.44/74.57
  6. Step 6: Final answer
    x = 101.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.