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Finding the Fourth Proportional to 10.06, 15.08 and 5.77

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Solution

The fourth proportional to 10.06, 15.08 and 5.77 is: 8.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.06 : 15.08 = 5.77 : x
  2. Step 2: Convert to fraction form
    10.06/15.08 = 5.77/x
  3. Step 3: Cross multiply
    10.06x = 15.08 × 5.77
  4. Step 4: Simplify right side
    10.06x = 87.01
  5. Step 5: Solve for x
    x = 87.01/10.06
  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.