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Finding the Fourth Proportional to 10.05, 15.07 and 5.77

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Solution

The fourth proportional to 10.05, 15.07 and 5.77 is: 8.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 15.07 = 5.77 : x
  2. Step 2: Convert to fraction form
    10.05/15.07 = 5.77/x
  3. Step 3: Cross multiply
    10.05x = 15.07 × 5.77
  4. Step 4: Simplify right side
    10.05x = 86.95
  5. Step 5: Solve for x
    x = 86.95/10.05
  6. Step 6: Final answer
    x = 8.65

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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.