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Finding the Fourth Proportional to 5.65, 7.80 and 5.34

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Solution

The fourth proportional to 5.65, 7.80 and 5.34 is: 7.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.65 : 7.80 = 5.34 : x
  2. Step 2: Convert to fraction form
    5.65/7.80 = 5.34/x
  3. Step 3: Cross multiply
    5.65x = 7.80 × 5.34
  4. Step 4: Simplify right side
    5.65x = 41.65
  5. Step 5: Solve for x
    x = 41.65/5.65
  6. Step 6: Final answer
    x = 7.37

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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.