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Finding the Fourth Proportional to 101.35, 138.16 and 101.35

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Solution

The fourth proportional to 101.35, 138.16 and 101.35 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.35 : 138.16 = 101.35 : x
  2. Step 2: Convert to fraction form
    101.35/138.16 = 101.35/x
  3. Step 3: Cross multiply
    101.35x = 138.16 × 101.35
  4. Step 4: Simplify right side
    101.35x = 14,002.52
  5. Step 5: Solve for x
    x = 14,002.52/101.35
  6. Step 6: Final answer
    x = 138.16

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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.