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Finding the Fourth Proportional to 97.61, 145.40 and 89.10

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Solution

The fourth proportional to 97.61, 145.40 and 89.10 is: 132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.61 : 145.40 = 89.10 : x
  2. Step 2: Convert to fraction form
    97.61/145.40 = 89.10/x
  3. Step 3: Cross multiply
    97.61x = 145.40 × 89.10
  4. Step 4: Simplify right side
    97.61x = 12,954.69
  5. Step 5: Solve for x
    x = 12,954.69/97.61
  6. Step 6: Final answer
    x = 132.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.