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Finding the Fourth Proportional to 101.50, 140.07 and 62.70

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Solution

The fourth proportional to 101.50, 140.07 and 62.70 is: 86.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 140.07 = 62.70 : x
  2. Step 2: Convert to fraction form
    101.50/140.07 = 62.70/x
  3. Step 3: Cross multiply
    101.50x = 140.07 × 62.70
  4. Step 4: Simplify right side
    101.50x = 8,782.39
  5. Step 5: Solve for x
    x = 8,782.39/101.50
  6. Step 6: Final answer
    x = 86.53

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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.