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Finding the Fourth Proportional to 5.64, 7.75 and 5.30

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Solution

The fourth proportional to 5.64, 7.75 and 5.30 is: 7.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.64 : 7.75 = 5.30 : x
  2. Step 2: Convert to fraction form
    5.64/7.75 = 5.30/x
  3. Step 3: Cross multiply
    5.64x = 7.75 × 5.30
  4. Step 4: Simplify right side
    5.64x = 41.03
  5. Step 5: Solve for x
    x = 41.03/5.64
  6. Step 6: Final answer
    x = 7.28

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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.