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Finding the Fourth Proportional to 107.70, 151.10 and 107.70

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Solution

The fourth proportional to 107.70, 151.10 and 107.70 is: 151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 151.10 = 107.70 : x
  2. Step 2: Convert to fraction form
    107.70/151.10 = 107.70/x
  3. Step 3: Cross multiply
    107.70x = 151.10 × 107.70
  4. Step 4: Simplify right side
    107.70x = 16,273.47
  5. Step 5: Solve for x
    x = 16,273.47/107.70
  6. Step 6: Final answer
    x = 151.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.