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Finding the Fourth Proportional to 103.88, 154.69 and 99.16

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Solution

The fourth proportional to 103.88, 154.69 and 99.16 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.88 : 154.69 = 99.16 : x
  2. Step 2: Convert to fraction form
    103.88/154.69 = 99.16/x
  3. Step 3: Cross multiply
    103.88x = 154.69 × 99.16
  4. Step 4: Simplify right side
    103.88x = 15,339.06
  5. Step 5: Solve for x
    x = 15,339.06/103.88
  6. Step 6: Final answer
    x = 147.66

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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.