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Finding the Fourth Proportional to 123.23, 169.60 and 117.76

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Solution

The fourth proportional to 123.23, 169.60 and 117.76 is: 162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.23 : 169.60 = 117.76 : x
  2. Step 2: Convert to fraction form
    123.23/169.60 = 117.76/x
  3. Step 3: Cross multiply
    123.23x = 169.60 × 117.76
  4. Step 4: Simplify right side
    123.23x = 19,970.66
  5. Step 5: Solve for x
    x = 19,970.66/123.23
  6. Step 6: Final answer
    x = 162.07

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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.