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Finding the Fourth Proportional to 140.25, 193.65 and 88.59

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Solution

The fourth proportional to 140.25, 193.65 and 88.59 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.25 : 193.65 = 88.59 : x
  2. Step 2: Convert to fraction form
    140.25/193.65 = 88.59/x
  3. Step 3: Cross multiply
    140.25x = 193.65 × 88.59
  4. Step 4: Simplify right side
    140.25x = 17,155.45
  5. Step 5: Solve for x
    x = 17,155.45/140.25
  6. Step 6: Final answer
    x = 122.32

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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.