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Finding the Fourth Proportional to 5.14, 7.71 and 1.93

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Solution

The fourth proportional to 5.14, 7.71 and 1.93 is: 2.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 7.71 = 1.93 : x
  2. Step 2: Convert to fraction form
    5.14/7.71 = 1.93/x
  3. Step 3: Cross multiply
    5.14x = 7.71 × 1.93
  4. Step 4: Simplify right side
    5.14x = 14.86
  5. Step 5: Solve for x
    x = 14.86/5.14
  6. Step 6: Final answer
    x = 2.89

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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.