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Finding the Fourth Proportional to 74.09, 101.97 and 61.83

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Solution

The fourth proportional to 74.09, 101.97 and 61.83 is: 85.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 101.97 = 61.83 : x
  2. Step 2: Convert to fraction form
    74.09/101.97 = 61.83/x
  3. Step 3: Cross multiply
    74.09x = 101.97 × 61.83
  4. Step 4: Simplify right side
    74.09x = 6,304.81
  5. Step 5: Solve for x
    x = 6,304.81/74.09
  6. Step 6: Final answer
    x = 85.10

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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.