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Finding the Fourth Proportional to 97.64, 134.77 and 76.90

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Solution

The fourth proportional to 97.64, 134.77 and 76.90 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 134.77 = 76.90 : x
  2. Step 2: Convert to fraction form
    97.64/134.77 = 76.90/x
  3. Step 3: Cross multiply
    97.64x = 134.77 × 76.90
  4. Step 4: Simplify right side
    97.64x = 10,363.81
  5. Step 5: Solve for x
    x = 10,363.81/97.64
  6. Step 6: Final answer
    x = 106.14

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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.