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Finding the Fourth Proportional to 114.52, 158.01 and 65.39

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Solution

The fourth proportional to 114.52, 158.01 and 65.39 is: 90.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 158.01 = 65.39 : x
  2. Step 2: Convert to fraction form
    114.52/158.01 = 65.39/x
  3. Step 3: Cross multiply
    114.52x = 158.01 × 65.39
  4. Step 4: Simplify right side
    114.52x = 10,332.27
  5. Step 5: Solve for x
    x = 10,332.27/114.52
  6. Step 6: Final answer
    x = 90.22

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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.