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Finding the Fourth Proportional to 7.70, 10.63 and 5.89

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Solution

The fourth proportional to 7.70, 10.63 and 5.89 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.70 : 10.63 = 5.89 : x
  2. Step 2: Convert to fraction form
    7.70/10.63 = 5.89/x
  3. Step 3: Cross multiply
    7.70x = 10.63 × 5.89
  4. Step 4: Simplify right side
    7.70x = 62.61
  5. Step 5: Solve for x
    x = 62.61/7.70
  6. Step 6: Final answer
    x = 8.14

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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.