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Finding the Fourth Proportional to 4.15, 5.65 and 4.12

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Solution

The fourth proportional to 4.15, 5.65 and 4.12 is: 5.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.15 : 5.65 = 4.12 : x
  2. Step 2: Convert to fraction form
    4.15/5.65 = 4.12/x
  3. Step 3: Cross multiply
    4.15x = 5.65 × 4.12
  4. Step 4: Simplify right side
    4.15x = 23.28
  5. Step 5: Solve for x
    x = 23.28/4.15
  6. Step 6: Final answer
    x = 5.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.