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Finding the Fourth Proportional to 105.17, 145.13 and 61.55

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Solution

The fourth proportional to 105.17, 145.13 and 61.55 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 145.13 = 61.55 : x
  2. Step 2: Convert to fraction form
    105.17/145.13 = 61.55/x
  3. Step 3: Cross multiply
    105.17x = 145.13 × 61.55
  4. Step 4: Simplify right side
    105.17x = 8,932.44
  5. Step 5: Solve for x
    x = 8,932.44/105.17
  6. Step 6: Final answer
    x = 84.93

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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.