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Finding the Fourth Proportional to 7.10, 10.66 and 6.11

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Solution

The fourth proportional to 7.10, 10.66 and 6.11 is: 9.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.10 : 10.66 = 6.11 : x
  2. Step 2: Convert to fraction form
    7.10/10.66 = 6.11/x
  3. Step 3: Cross multiply
    7.10x = 10.66 × 6.11
  4. Step 4: Simplify right side
    7.10x = 65.13
  5. Step 5: Solve for x
    x = 65.13/7.10
  6. Step 6: Final answer
    x = 9.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.