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Finding the Fourth Proportional to 345.42, 518.07 and 101.90

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Solution

The fourth proportional to 345.42, 518.07 and 101.90 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.42 : 518.07 = 101.90 : x
  2. Step 2: Convert to fraction form
    345.42/518.07 = 101.90/x
  3. Step 3: Cross multiply
    345.42x = 518.07 × 101.90
  4. Step 4: Simplify right side
    345.42x = 52,788.23
  5. Step 5: Solve for x
    x = 52,788.23/345.42
  6. Step 6: Final answer
    x = 152.82

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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.