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Finding the Fourth Proportional to 345.29, 517.93 and 101.81

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Solution

The fourth proportional to 345.29, 517.93 and 101.81 is: 152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.29 : 517.93 = 101.81 : x
  2. Step 2: Convert to fraction form
    345.29/517.93 = 101.81/x
  3. Step 3: Cross multiply
    345.29x = 517.93 × 101.81
  4. Step 4: Simplify right side
    345.29x = 52,729.94
  5. Step 5: Solve for x
    x = 52,729.94/345.29
  6. Step 6: Final answer
    x = 152.71

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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.