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Finding the Fourth Proportional to 7.90, 10.84 and 7.70

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Solution

The fourth proportional to 7.90, 10.84 and 7.70 is: 10.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.90 : 10.84 = 7.70 : x
  2. Step 2: Convert to fraction form
    7.90/10.84 = 7.70/x
  3. Step 3: Cross multiply
    7.90x = 10.84 × 7.70
  4. Step 4: Simplify right side
    7.90x = 83.47
  5. Step 5: Solve for x
    x = 83.47/7.90
  6. Step 6: Final answer
    x = 10.57

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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.