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Finding the Fourth Proportional to 105.59, 158.54 and 65.18

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Solution

The fourth proportional to 105.59, 158.54 and 65.18 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 158.54 = 65.18 : x
  2. Step 2: Convert to fraction form
    105.59/158.54 = 65.18/x
  3. Step 3: Cross multiply
    105.59x = 158.54 × 65.18
  4. Step 4: Simplify right side
    105.59x = 10,332.52
  5. Step 5: Solve for x
    x = 10,332.52/105.59
  6. Step 6: Final answer
    x = 97.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.