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Finding the Fourth Proportional to 78.68, 117.83 and 55.76

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Solution

The fourth proportional to 78.68, 117.83 and 55.76 is: 83.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.68 : 117.83 = 55.76 : x
  2. Step 2: Convert to fraction form
    78.68/117.83 = 55.76/x
  3. Step 3: Cross multiply
    78.68x = 117.83 × 55.76
  4. Step 4: Simplify right side
    78.68x = 6,569.33
  5. Step 5: Solve for x
    x = 6,569.33/78.68
  6. Step 6: Final answer
    x = 83.50

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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.