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Finding the Fourth Proportional to 78.19, 117.54 and 75.76

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Solution

The fourth proportional to 78.19, 117.54 and 75.76 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.19 : 117.54 = 75.76 : x
  2. Step 2: Convert to fraction form
    78.19/117.54 = 75.76/x
  3. Step 3: Cross multiply
    78.19x = 117.54 × 75.76
  4. Step 4: Simplify right side
    78.19x = 8,904.83
  5. Step 5: Solve for x
    x = 8,904.83/78.19
  6. Step 6: Final answer
    x = 113.89

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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.