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Finding the Fourth Proportional to 6.57, 9.06 and 5.20

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Solution

The fourth proportional to 6.57, 9.06 and 5.20 is: 7.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.06 = 5.20 : x
  2. Step 2: Convert to fraction form
    6.57/9.06 = 5.20/x
  3. Step 3: Cross multiply
    6.57x = 9.06 × 5.20
  4. Step 4: Simplify right side
    6.57x = 47.09
  5. Step 5: Solve for x
    x = 47.09/6.57
  6. Step 6: Final answer
    x = 7.17

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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.