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Finding the Fourth Proportional to 174.09, 261.14 and 52.35

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Solution

The fourth proportional to 174.09, 261.14 and 52.35 is: 78.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 261.14 = 52.35 : x
  2. Step 2: Convert to fraction form
    174.09/261.14 = 52.35/x
  3. Step 3: Cross multiply
    174.09x = 261.14 × 52.35
  4. Step 4: Simplify right side
    174.09x = 13,671.07
  5. Step 5: Solve for x
    x = 13,671.07/174.09
  6. Step 6: Final answer
    x = 78.53

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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.