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Finding the Fourth Proportional to 97, 134 and 89.18

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Solution

The fourth proportional to 97, 134 and 89.18 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 134 = 89.18 : x
  2. Step 2: Convert to fraction form
    97/134 = 89.18/x
  3. Step 3: Cross multiply
    97x = 134 × 89.18
  4. Step 4: Simplify right side
    97x = 11,950.12
  5. Step 5: Solve for x
    x = 11,950.12/97
  6. Step 6: Final answer
    x = 123.20

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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.