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Finding the Fourth Proportional to 97.08, 134.04 and 77.49

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Solution

The fourth proportional to 97.08, 134.04 and 77.49 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.08 : 134.04 = 77.49 : x
  2. Step 2: Convert to fraction form
    97.08/134.04 = 77.49/x
  3. Step 3: Cross multiply
    97.08x = 134.04 × 77.49
  4. Step 4: Simplify right side
    97.08x = 10,386.76
  5. Step 5: Solve for x
    x = 10,386.76/97.08
  6. Step 6: Final answer
    x = 106.99

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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.