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Finding the Fourth Proportional to 103.64, 155.36 and 65.12

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Solution

The fourth proportional to 103.64, 155.36 and 65.12 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.64 : 155.36 = 65.12 : x
  2. Step 2: Convert to fraction form
    103.64/155.36 = 65.12/x
  3. Step 3: Cross multiply
    103.64x = 155.36 × 65.12
  4. Step 4: Simplify right side
    103.64x = 10,117.04
  5. Step 5: Solve for x
    x = 10,117.04/103.64
  6. Step 6: Final answer
    x = 97.62

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Why These Related Problems?

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