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Finding the Fourth Proportional to 7.06, 9.70 and 6.61

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Solution

The fourth proportional to 7.06, 9.70 and 6.61 is: 9.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.06 : 9.70 = 6.61 : x
  2. Step 2: Convert to fraction form
    7.06/9.70 = 6.61/x
  3. Step 3: Cross multiply
    7.06x = 9.70 × 6.61
  4. Step 4: Simplify right side
    7.06x = 64.04
  5. Step 5: Solve for x
    x = 64.04/7.06
  6. Step 6: Final answer
    x = 9.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.