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Finding the Fourth Proportional to 123.66, 170.78 and 99.36

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Solution

The fourth proportional to 123.66, 170.78 and 99.36 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 170.78 = 99.36 : x
  2. Step 2: Convert to fraction form
    123.66/170.78 = 99.36/x
  3. Step 3: Cross multiply
    123.66x = 170.78 × 99.36
  4. Step 4: Simplify right side
    123.66x = 16,968.20
  5. Step 5: Solve for x
    x = 16,968.20/123.66
  6. Step 6: Final answer
    x = 137.22

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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.