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Finding the Fourth Proportional to 6.17, 8.52 and 5.40

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Solution

The fourth proportional to 6.17, 8.52 and 5.40 is: 7.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.17 : 8.52 = 5.40 : x
  2. Step 2: Convert to fraction form
    6.17/8.52 = 5.40/x
  3. Step 3: Cross multiply
    6.17x = 8.52 × 5.40
  4. Step 4: Simplify right side
    6.17x = 46.01
  5. Step 5: Solve for x
    x = 46.01/6.17
  6. Step 6: Final answer
    x = 7.46

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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.