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Finding the Fourth Proportional to 78.35, 117.38 and 51.17

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Solution

The fourth proportional to 78.35, 117.38 and 51.17 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.35 : 117.38 = 51.17 : x
  2. Step 2: Convert to fraction form
    78.35/117.38 = 51.17/x
  3. Step 3: Cross multiply
    78.35x = 117.38 × 51.17
  4. Step 4: Simplify right side
    78.35x = 6,005.49
  5. Step 5: Solve for x
    x = 6,005.49/78.35
  6. Step 6: Final answer
    x = 76.65

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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.