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Finding the Fourth Proportional to 5.42, 8.09 and 4.78

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Solution

The fourth proportional to 5.42, 8.09 and 4.78 is: 7.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 8.09 = 4.78 : x
  2. Step 2: Convert to fraction form
    5.42/8.09 = 4.78/x
  3. Step 3: Cross multiply
    5.42x = 8.09 × 4.78
  4. Step 4: Simplify right side
    5.42x = 38.63
  5. Step 5: Solve for x
    x = 38.63/5.42
  6. Step 6: Final answer
    x = 7.13

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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.