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Finding the Fourth Proportional to 103.19, 154.78 and 49.02

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Solution

The fourth proportional to 103.19, 154.78 and 49.02 is: 73.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.19 : 154.78 = 49.02 : x
  2. Step 2: Convert to fraction form
    103.19/154.78 = 49.02/x
  3. Step 3: Cross multiply
    103.19x = 154.78 × 49.02
  4. Step 4: Simplify right side
    103.19x = 7,587.32
  5. Step 5: Solve for x
    x = 7,587.32/103.19
  6. Step 6: Final answer
    x = 73.53

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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.