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Finding the Fourth Proportional to 112.52, 155.16 and 75.16

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Solution

The fourth proportional to 112.52, 155.16 and 75.16 is: 103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.52 : 155.16 = 75.16 : x
  2. Step 2: Convert to fraction form
    112.52/155.16 = 75.16/x
  3. Step 3: Cross multiply
    112.52x = 155.16 × 75.16
  4. Step 4: Simplify right side
    112.52x = 11,661.83
  5. Step 5: Solve for x
    x = 11,661.83/112.52
  6. Step 6: Final answer
    x = 103.64

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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.