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Finding the Fourth Proportional to 78.17, 107.65 and 74.52

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Solution

The fourth proportional to 78.17, 107.65 and 74.52 is: 102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.17 : 107.65 = 74.52 : x
  2. Step 2: Convert to fraction form
    78.17/107.65 = 74.52/x
  3. Step 3: Cross multiply
    78.17x = 107.65 × 74.52
  4. Step 4: Simplify right side
    78.17x = 8,021.75
  5. Step 5: Solve for x
    x = 8,021.75/78.17
  6. Step 6: Final answer
    x = 102.63

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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.