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Finding the Fourth Proportional to 5.69, 8.53 and 3.66

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Solution

The fourth proportional to 5.69, 8.53 and 3.66 is: 5.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 8.53 = 3.66 : x
  2. Step 2: Convert to fraction form
    5.69/8.53 = 3.66/x
  3. Step 3: Cross multiply
    5.69x = 8.53 × 3.66
  4. Step 4: Simplify right side
    5.69x = 31.18
  5. Step 5: Solve for x
    x = 31.18/5.69
  6. Step 6: Final answer
    x = 5.48

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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.