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Finding the Fourth Proportional to 78.14, 117.22 and 47.76

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Solution

The fourth proportional to 78.14, 117.22 and 47.76 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 117.22 = 47.76 : x
  2. Step 2: Convert to fraction form
    78.14/117.22 = 47.76/x
  3. Step 3: Cross multiply
    78.14x = 117.22 × 47.76
  4. Step 4: Simplify right side
    78.14x = 5,598.43
  5. Step 5: Solve for x
    x = 5,598.43/78.14
  6. Step 6: Final answer
    x = 71.65

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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.