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Finding the Fourth Proportional to 74.10, 102.14 and 54.66

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Solution

The fourth proportional to 74.10, 102.14 and 54.66 is: 75.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.10 : 102.14 = 54.66 : x
  2. Step 2: Convert to fraction form
    74.10/102.14 = 54.66/x
  3. Step 3: Cross multiply
    74.10x = 102.14 × 54.66
  4. Step 4: Simplify right side
    74.10x = 5,582.97
  5. Step 5: Solve for x
    x = 5,582.97/74.10
  6. Step 6: Final answer
    x = 75.34

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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.