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Finding the Fourth Proportional to 114.17, 157.49 and 67.52

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Solution

The fourth proportional to 114.17, 157.49 and 67.52 is: 93.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.17 : 157.49 = 67.52 : x
  2. Step 2: Convert to fraction form
    114.17/157.49 = 67.52/x
  3. Step 3: Cross multiply
    114.17x = 157.49 × 67.52
  4. Step 4: Simplify right side
    114.17x = 10,634.29
  5. Step 5: Solve for x
    x = 10,634.29/114.17
  6. Step 6: Final answer
    x = 93.15

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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.