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Finding the Fourth Proportional to 140.52, 193.74 and 91.32

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Solution

The fourth proportional to 140.52, 193.74 and 91.32 is: 125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 193.74 = 91.32 : x
  2. Step 2: Convert to fraction form
    140.52/193.74 = 91.32/x
  3. Step 3: Cross multiply
    140.52x = 193.74 × 91.32
  4. Step 4: Simplify right side
    140.52x = 17,692.34
  5. Step 5: Solve for x
    x = 17,692.34/140.52
  6. Step 6: Final answer
    x = 125.91

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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.