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Finding the Fourth Proportional to 70.97, 105.86 and 59.63

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Solution

The fourth proportional to 70.97, 105.86 and 59.63 is: 88.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 105.86 = 59.63 : x
  2. Step 2: Convert to fraction form
    70.97/105.86 = 59.63/x
  3. Step 3: Cross multiply
    70.97x = 105.86 × 59.63
  4. Step 4: Simplify right side
    70.97x = 6,312.05
  5. Step 5: Solve for x
    x = 6,312.05/70.97
  6. Step 6: Final answer
    x = 88.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.