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Finding the Fourth Proportional to 113.78, 156.78 and 84.62

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Solution

The fourth proportional to 113.78, 156.78 and 84.62 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 156.78 = 84.62 : x
  2. Step 2: Convert to fraction form
    113.78/156.78 = 84.62/x
  3. Step 3: Cross multiply
    113.78x = 156.78 × 84.62
  4. Step 4: Simplify right side
    113.78x = 13,266.72
  5. Step 5: Solve for x
    x = 13,266.72/113.78
  6. Step 6: Final answer
    x = 116.60

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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.