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Finding the Fourth Proportional to 4.34, 6.54 and 3.75

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Solution

The fourth proportional to 4.34, 6.54 and 3.75 is: 5.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.34 : 6.54 = 3.75 : x
  2. Step 2: Convert to fraction form
    4.34/6.54 = 3.75/x
  3. Step 3: Cross multiply
    4.34x = 6.54 × 3.75
  4. Step 4: Simplify right side
    4.34x = 24.53
  5. Step 5: Solve for x
    x = 24.53/4.34
  6. Step 6: Final answer
    x = 5.65

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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.