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Finding the Fourth Proportional to 5.46, 7.54 and 4.40

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Solution

The fourth proportional to 5.46, 7.54 and 4.40 is: 6.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.46 : 7.54 = 4.40 : x
  2. Step 2: Convert to fraction form
    5.46/7.54 = 4.40/x
  3. Step 3: Cross multiply
    5.46x = 7.54 × 4.40
  4. Step 4: Simplify right side
    5.46x = 33.18
  5. Step 5: Solve for x
    x = 33.18/5.46
  6. Step 6: Final answer
    x = 6.08

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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.