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Finding the Fourth Proportional to 345.12, 517.65 and 101.70

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Solution

The fourth proportional to 345.12, 517.65 and 101.70 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 517.65 = 101.70 : x
  2. Step 2: Convert to fraction form
    345.12/517.65 = 101.70/x
  3. Step 3: Cross multiply
    345.12x = 517.65 × 101.70
  4. Step 4: Simplify right side
    345.12x = 52,645.01
  5. Step 5: Solve for x
    x = 52,645.01/345.12
  6. Step 6: Final answer
    x = 152.54

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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.