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Finding the Fourth Proportional to 101.00, 151.57 and 76.70

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Solution

The fourth proportional to 101.00, 151.57 and 76.70 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.00 : 151.57 = 76.70 : x
  2. Step 2: Convert to fraction form
    101.00/151.57 = 76.70/x
  3. Step 3: Cross multiply
    101.00x = 151.57 × 76.70
  4. Step 4: Simplify right side
    101.00x = 11,625.04
  5. Step 5: Solve for x
    x = 11,625.04/101.00
  6. Step 6: Final answer
    x = 115.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.