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Finding the Fourth Proportional to 105.86, 157.93 and 88.85

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Solution

The fourth proportional to 105.86, 157.93 and 88.85 is: 132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 157.93 = 88.85 : x
  2. Step 2: Convert to fraction form
    105.86/157.93 = 88.85/x
  3. Step 3: Cross multiply
    105.86x = 157.93 × 88.85
  4. Step 4: Simplify right side
    105.86x = 14,032.25
  5. Step 5: Solve for x
    x = 14,032.25/105.86
  6. Step 6: Final answer
    x = 132.55

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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.