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Finding the Fourth Proportional to 103.35, 154.69 and 64.87

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Solution

The fourth proportional to 103.35, 154.69 and 64.87 is: 97.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.35 : 154.69 = 64.87 : x
  2. Step 2: Convert to fraction form
    103.35/154.69 = 64.87/x
  3. Step 3: Cross multiply
    103.35x = 154.69 × 64.87
  4. Step 4: Simplify right side
    103.35x = 10,034.19
  5. Step 5: Solve for x
    x = 10,034.19/103.35
  6. Step 6: Final answer
    x = 97.09

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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.