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Finding the Fourth Proportional to 114.52, 157.16 and 105.28

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Solution

The fourth proportional to 114.52, 157.16 and 105.28 is: 144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 157.16 = 105.28 : x
  2. Step 2: Convert to fraction form
    114.52/157.16 = 105.28/x
  3. Step 3: Cross multiply
    114.52x = 157.16 × 105.28
  4. Step 4: Simplify right side
    114.52x = 16,545.80
  5. Step 5: Solve for x
    x = 16,545.80/114.52
  6. Step 6: Final answer
    x = 144.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.