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Finding the Fourth Proportional to 5.66, 7.80 and 5.49

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Solution

The fourth proportional to 5.66, 7.80 and 5.49 is: 7.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 7.80 = 5.49 : x
  2. Step 2: Convert to fraction form
    5.66/7.80 = 5.49/x
  3. Step 3: Cross multiply
    5.66x = 7.80 × 5.49
  4. Step 4: Simplify right side
    5.66x = 42.82
  5. Step 5: Solve for x
    x = 42.82/5.66
  6. Step 6: Final answer
    x = 7.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.