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Finding the Fourth Proportional to 106.82, 147.42 and 77.72

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Solution

The fourth proportional to 106.82, 147.42 and 77.72 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 147.42 = 77.72 : x
  2. Step 2: Convert to fraction form
    106.82/147.42 = 77.72/x
  3. Step 3: Cross multiply
    106.82x = 147.42 × 77.72
  4. Step 4: Simplify right side
    106.82x = 11,457.48
  5. Step 5: Solve for x
    x = 11,457.48/106.82
  6. Step 6: Final answer
    x = 107.26

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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.