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Finding the Fourth Proportional to 5.14, 7.70 and 1.52

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Solution

The fourth proportional to 5.14, 7.70 and 1.52 is: 2.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.70 = 1.52 : x
  2. Step 2: Convert to fraction form
    5.14/7.70 = 1.52/x
  3. Step 3: Cross multiply
    5.14x = 7.70 × 1.52
  4. Step 4: Simplify right side
    5.14x = 11.74
  5. Step 5: Solve for x
    x = 11.74/5.14
  6. Step 6: Final answer
    x = 2.29

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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.