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Finding the Fourth Proportional to 103.01, 154.61 and 66.46

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Solution

The fourth proportional to 103.01, 154.61 and 66.46 is: 99.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.01 : 154.61 = 66.46 : x
  2. Step 2: Convert to fraction form
    103.01/154.61 = 66.46/x
  3. Step 3: Cross multiply
    103.01x = 154.61 × 66.46
  4. Step 4: Simplify right side
    103.01x = 10,274.61
  5. Step 5: Solve for x
    x = 10,274.61/103.01
  6. Step 6: Final answer
    x = 99.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.