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Finding the Fourth Proportional to 349.52, 524.34 and 106.02

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Solution

The fourth proportional to 349.52, 524.34 and 106.02 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.52 : 524.34 = 106.02 : x
  2. Step 2: Convert to fraction form
    349.52/524.34 = 106.02/x
  3. Step 3: Cross multiply
    349.52x = 524.34 × 106.02
  4. Step 4: Simplify right side
    349.52x = 55,590.53
  5. Step 5: Solve for x
    x = 55,590.53/349.52
  6. Step 6: Final answer
    x = 159.05

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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.