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Finding the Fourth Proportional to 123.60, 170.62 and 113.88

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Solution

The fourth proportional to 123.60, 170.62 and 113.88 is: 157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 170.62 = 113.88 : x
  2. Step 2: Convert to fraction form
    123.60/170.62 = 113.88/x
  3. Step 3: Cross multiply
    123.60x = 170.62 × 113.88
  4. Step 4: Simplify right side
    123.60x = 19,430.21
  5. Step 5: Solve for x
    x = 19,430.21/123.60
  6. Step 6: Final answer
    x = 157.20

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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.