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Finding the Fourth Proportional to 6.55, 9.05 and 4.13

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Solution

The fourth proportional to 6.55, 9.05 and 4.13 is: 5.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.55 : 9.05 = 4.13 : x
  2. Step 2: Convert to fraction form
    6.55/9.05 = 4.13/x
  3. Step 3: Cross multiply
    6.55x = 9.05 × 4.13
  4. Step 4: Simplify right side
    6.55x = 37.31
  5. Step 5: Solve for x
    x = 37.31/6.55
  6. Step 6: Final answer
    x = 5.70

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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.