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Finding the Fourth Proportional to 97.76, 145.94 and 90.92

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Solution

The fourth proportional to 97.76, 145.94 and 90.92 is: 135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.76 : 145.94 = 90.92 : x
  2. Step 2: Convert to fraction form
    97.76/145.94 = 90.92/x
  3. Step 3: Cross multiply
    97.76x = 145.94 × 90.92
  4. Step 4: Simplify right side
    97.76x = 13,268.78
  5. Step 5: Solve for x
    x = 13,268.78/97.76
  6. Step 6: Final answer
    x = 135.73

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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.