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Finding the Fourth Proportional to 112.37, 155.04 and 75.53

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Solution

The fourth proportional to 112.37, 155.04 and 75.53 is: 104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.37 : 155.04 = 75.53 : x
  2. Step 2: Convert to fraction form
    112.37/155.04 = 75.53/x
  3. Step 3: Cross multiply
    112.37x = 155.04 × 75.53
  4. Step 4: Simplify right side
    112.37x = 11,709.40
  5. Step 5: Solve for x
    x = 11,709.40/112.37
  6. Step 6: Final answer
    x = 104.21

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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.