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Finding the Fourth Proportional to 103.24, 154.01 and 90.28

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Solution

The fourth proportional to 103.24, 154.01 and 90.28 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.24 : 154.01 = 90.28 : x
  2. Step 2: Convert to fraction form
    103.24/154.01 = 90.28/x
  3. Step 3: Cross multiply
    103.24x = 154.01 × 90.28
  4. Step 4: Simplify right side
    103.24x = 13,904.02
  5. Step 5: Solve for x
    x = 13,904.02/103.24
  6. Step 6: Final answer
    x = 134.68

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