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Finding the Fourth Proportional to 78.14, 117.22 and 32.47

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Solution

The fourth proportional to 78.14, 117.22 and 32.47 is: 48.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 117.22 = 32.47 : x
  2. Step 2: Convert to fraction form
    78.14/117.22 = 32.47/x
  3. Step 3: Cross multiply
    78.14x = 117.22 × 32.47
  4. Step 4: Simplify right side
    78.14x = 3,805.81
  5. Step 5: Solve for x
    x = 3,805.81/78.14
  6. Step 6: Final answer
    x = 48.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.