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Finding the Fourth Proportional to 112.32, 155 and 73.57

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Solution

The fourth proportional to 112.32, 155 and 73.57 is: 101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 155 = 73.57 : x
  2. Step 2: Convert to fraction form
    112.32/155 = 73.57/x
  3. Step 3: Cross multiply
    112.32x = 155 × 73.57
  4. Step 4: Simplify right side
    112.32x = 11,403.35
  5. Step 5: Solve for x
    x = 11,403.35/112.32
  6. Step 6: Final answer
    x = 101.53

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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.