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Finding the Fourth Proportional to 101.60, 138.32 and 100.70

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Solution

The fourth proportional to 101.60, 138.32 and 100.70 is: 137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 138.32 = 100.70 : x
  2. Step 2: Convert to fraction form
    101.60/138.32 = 100.70/x
  3. Step 3: Cross multiply
    101.60x = 138.32 × 100.70
  4. Step 4: Simplify right side
    101.60x = 13,928.82
  5. Step 5: Solve for x
    x = 13,928.82/101.60
  6. Step 6: Final answer
    x = 137.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.