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Finding the Fourth Proportional to 5.66, 7.77 and 5.57

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Solution

The fourth proportional to 5.66, 7.77 and 5.57 is: 7.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 7.77 = 5.57 : x
  2. Step 2: Convert to fraction form
    5.66/7.77 = 5.57/x
  3. Step 3: Cross multiply
    5.66x = 7.77 × 5.57
  4. Step 4: Simplify right side
    5.66x = 43.30
  5. Step 5: Solve for x
    x = 43.30/5.66
  6. Step 6: Final answer
    x = 7.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.