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Finding the Fourth Proportional to 123.51, 170.51 and 95.82

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Solution

The fourth proportional to 123.51, 170.51 and 95.82 is: 132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 170.51 = 95.82 : x
  2. Step 2: Convert to fraction form
    123.51/170.51 = 95.82/x
  3. Step 3: Cross multiply
    123.51x = 170.51 × 95.82
  4. Step 4: Simplify right side
    123.51x = 16,337.15
  5. Step 5: Solve for x
    x = 16,337.15/123.51
  6. Step 6: Final answer
    x = 132.28

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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.