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Finding the Fourth Proportional to 78.34, 116.58 and 75

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Solution

The fourth proportional to 78.34, 116.58 and 75 is: 111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 116.58 = 75 : x
  2. Step 2: Convert to fraction form
    78.34/116.58 = 75/x
  3. Step 3: Cross multiply
    78.34x = 116.58 × 75
  4. Step 4: Simplify right side
    78.34x = 8,743.50
  5. Step 5: Solve for x
    x = 8,743.50/78.34
  6. Step 6: Final answer
    x = 111.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.