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Finding the Fourth Proportional to 5.15, 7.72 and 2.90

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Solution

The fourth proportional to 5.15, 7.72 and 2.90 is: 4.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.15 : 7.72 = 2.90 : x
  2. Step 2: Convert to fraction form
    5.15/7.72 = 2.90/x
  3. Step 3: Cross multiply
    5.15x = 7.72 × 2.90
  4. Step 4: Simplify right side
    5.15x = 22.39
  5. Step 5: Solve for x
    x = 22.39/5.15
  6. Step 6: Final answer
    x = 4.35

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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.