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Finding the Fourth Proportional to 68.66, 103.45 and 61.29

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Solution

The fourth proportional to 68.66, 103.45 and 61.29 is: 92.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.66 : 103.45 = 61.29 : x
  2. Step 2: Convert to fraction form
    68.66/103.45 = 61.29/x
  3. Step 3: Cross multiply
    68.66x = 103.45 × 61.29
  4. Step 4: Simplify right side
    68.66x = 6,340.45
  5. Step 5: Solve for x
    x = 6,340.45/68.66
  6. Step 6: Final answer
    x = 92.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.