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Finding the Fourth Proportional to 97.74, 134.01 and 90.63

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Solution

The fourth proportional to 97.74, 134.01 and 90.63 is: 124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 134.01 = 90.63 : x
  2. Step 2: Convert to fraction form
    97.74/134.01 = 90.63/x
  3. Step 3: Cross multiply
    97.74x = 134.01 × 90.63
  4. Step 4: Simplify right side
    97.74x = 12,145.33
  5. Step 5: Solve for x
    x = 12,145.33/97.74
  6. Step 6: Final answer
    x = 124.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.