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Finding the Fourth Proportional to 5.93, 8.16 and 5.66

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Solution

The fourth proportional to 5.93, 8.16 and 5.66 is: 7.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.93 : 8.16 = 5.66 : x
  2. Step 2: Convert to fraction form
    5.93/8.16 = 5.66/x
  3. Step 3: Cross multiply
    5.93x = 8.16 × 5.66
  4. Step 4: Simplify right side
    5.93x = 46.19
  5. Step 5: Solve for x
    x = 46.19/5.93
  6. Step 6: Final answer
    x = 7.79

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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.