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Finding the Fourth Proportional to 112.65, 155.37 and 75.75

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Solution

The fourth proportional to 112.65, 155.37 and 75.75 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.65 : 155.37 = 75.75 : x
  2. Step 2: Convert to fraction form
    112.65/155.37 = 75.75/x
  3. Step 3: Cross multiply
    112.65x = 155.37 × 75.75
  4. Step 4: Simplify right side
    112.65x = 11,769.28
  5. Step 5: Solve for x
    x = 11,769.28/112.65
  6. Step 6: Final answer
    x = 104.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.