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Finding the Fourth Proportional to 101.72, 140.35 and 66.75

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Solution

The fourth proportional to 101.72, 140.35 and 66.75 is: 92.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.72 : 140.35 = 66.75 : x
  2. Step 2: Convert to fraction form
    101.72/140.35 = 66.75/x
  3. Step 3: Cross multiply
    101.72x = 140.35 × 66.75
  4. Step 4: Simplify right side
    101.72x = 9,368.36
  5. Step 5: Solve for x
    x = 9,368.36/101.72
  6. Step 6: Final answer
    x = 92.10

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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.