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Finding the Fourth Proportional to 5.34, 7.36 and 2.91

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Solution

The fourth proportional to 5.34, 7.36 and 2.91 is: 4.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 7.36 = 2.91 : x
  2. Step 2: Convert to fraction form
    5.34/7.36 = 2.91/x
  3. Step 3: Cross multiply
    5.34x = 7.36 × 2.91
  4. Step 4: Simplify right side
    5.34x = 21.43
  5. Step 5: Solve for x
    x = 21.43/5.34
  6. Step 6: Final answer
    x = 4.02

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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.