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Finding the Fourth Proportional to 5.34, 8.04 and 4.93

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Solution

The fourth proportional to 5.34, 8.04 and 4.93 is: 7.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 8.04 = 4.93 : x
  2. Step 2: Convert to fraction form
    5.34/8.04 = 4.93/x
  3. Step 3: Cross multiply
    5.34x = 8.04 × 4.93
  4. Step 4: Simplify right side
    5.34x = 39.64
  5. Step 5: Solve for x
    x = 39.64/5.34
  6. Step 6: Final answer
    x = 7.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.