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Finding the Fourth Proportional to 7.19, 10.78 and 2.90

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Solution

The fourth proportional to 7.19, 10.78 and 2.90 is: 4.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.19 : 10.78 = 2.90 : x
  2. Step 2: Convert to fraction form
    7.19/10.78 = 2.90/x
  3. Step 3: Cross multiply
    7.19x = 10.78 × 2.90
  4. Step 4: Simplify right side
    7.19x = 31.28
  5. Step 5: Solve for x
    x = 31.28/7.19
  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.