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Finding the Fourth Proportional to 74.10, 102.14 and 61

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Solution

The fourth proportional to 74.10, 102.14 and 61 is: 84.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.10 : 102.14 = 61 : x
  2. Step 2: Convert to fraction form
    74.10/102.14 = 61/x
  3. Step 3: Cross multiply
    74.10x = 102.14 × 61
  4. Step 4: Simplify right side
    74.10x = 6,230.54
  5. Step 5: Solve for x
    x = 6,230.54/74.10
  6. Step 6: Final answer
    x = 84.08

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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.