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Finding the Fourth Proportional to 68.62, 103.34 and 61.08

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Solution

The fourth proportional to 68.62, 103.34 and 61.08 is: 91.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.62 : 103.34 = 61.08 : x
  2. Step 2: Convert to fraction form
    68.62/103.34 = 61.08/x
  3. Step 3: Cross multiply
    68.62x = 103.34 × 61.08
  4. Step 4: Simplify right side
    68.62x = 6,312.01
  5. Step 5: Solve for x
    x = 6,312.01/68.62
  6. Step 6: Final answer
    x = 91.98

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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.