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Finding the Fourth Proportional to 110.19, 152.13 and 77.49

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Solution

The fourth proportional to 110.19, 152.13 and 77.49 is: 106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.19 : 152.13 = 77.49 : x
  2. Step 2: Convert to fraction form
    110.19/152.13 = 77.49/x
  3. Step 3: Cross multiply
    110.19x = 152.13 × 77.49
  4. Step 4: Simplify right side
    110.19x = 11,788.55
  5. Step 5: Solve for x
    x = 11,788.55/110.19
  6. Step 6: Final answer
    x = 106.98

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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.