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Finding the Fourth Proportional to 114.71, 158.22 and 73.22

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Solution

The fourth proportional to 114.71, 158.22 and 73.22 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 158.22 = 73.22 : x
  2. Step 2: Convert to fraction form
    114.71/158.22 = 73.22/x
  3. Step 3: Cross multiply
    114.71x = 158.22 × 73.22
  4. Step 4: Simplify right side
    114.71x = 11,584.08
  5. Step 5: Solve for x
    x = 11,584.08/114.71
  6. Step 6: Final answer
    x = 100.99

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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.