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Finding the Fourth Proportional to 5.95, 8.92 and 5.10

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Solution

The fourth proportional to 5.95, 8.92 and 5.10 is: 7.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.95 : 8.92 = 5.10 : x
  2. Step 2: Convert to fraction form
    5.95/8.92 = 5.10/x
  3. Step 3: Cross multiply
    5.95x = 8.92 × 5.10
  4. Step 4: Simplify right side
    5.95x = 45.49
  5. Step 5: Solve for x
    x = 45.49/5.95
  6. Step 6: Final answer
    x = 7.65

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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.