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Finding the Fourth Proportional to 5.60, 7.71 and 5.23

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Solution

The fourth proportional to 5.60, 7.71 and 5.23 is: 7.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.60 : 7.71 = 5.23 : x
  2. Step 2: Convert to fraction form
    5.60/7.71 = 5.23/x
  3. Step 3: Cross multiply
    5.60x = 7.71 × 5.23
  4. Step 4: Simplify right side
    5.60x = 40.28
  5. Step 5: Solve for x
    x = 40.28/5.60
  6. Step 6: Final answer
    x = 7.19

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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.