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Finding the Fourth Proportional to 345.37, 518.06 and 101.84

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Solution

The fourth proportional to 345.37, 518.06 and 101.84 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.37 : 518.06 = 101.84 : x
  2. Step 2: Convert to fraction form
    345.37/518.06 = 101.84/x
  3. Step 3: Cross multiply
    345.37x = 518.06 × 101.84
  4. Step 4: Simplify right side
    345.37x = 52,759.23
  5. Step 5: Solve for x
    x = 52,759.23/345.37
  6. Step 6: Final answer
    x = 152.76

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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.