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Finding the Fourth Proportional to 153.75, 212.08 and 112.24

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Solution

The fourth proportional to 153.75, 212.08 and 112.24 is: 154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 212.08 = 112.24 : x
  2. Step 2: Convert to fraction form
    153.75/212.08 = 112.24/x
  3. Step 3: Cross multiply
    153.75x = 212.08 × 112.24
  4. Step 4: Simplify right side
    153.75x = 23,803.86
  5. Step 5: Solve for x
    x = 23,803.86/153.75
  6. Step 6: Final answer
    x = 154.82

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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.