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Finding the Fourth Proportional to 103.64, 154.46 and 97.72

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Solution

The fourth proportional to 103.64, 154.46 and 97.72 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.64 : 154.46 = 97.72 : x
  2. Step 2: Convert to fraction form
    103.64/154.46 = 97.72/x
  3. Step 3: Cross multiply
    103.64x = 154.46 × 97.72
  4. Step 4: Simplify right side
    103.64x = 15,093.69
  5. Step 5: Solve for x
    x = 15,093.69/103.64
  6. Step 6: Final answer
    x = 145.64

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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.