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Finding the Fourth Proportional to 5.64, 8.43 and 5.29

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Solution

The fourth proportional to 5.64, 8.43 and 5.29 is: 7.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.64 : 8.43 = 5.29 : x
  2. Step 2: Convert to fraction form
    5.64/8.43 = 5.29/x
  3. Step 3: Cross multiply
    5.64x = 8.43 × 5.29
  4. Step 4: Simplify right side
    5.64x = 44.59
  5. Step 5: Solve for x
    x = 44.59/5.64
  6. Step 6: Final answer
    x = 7.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.