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Finding the Fourth Proportional to 174.55, 261.64 and 58.95

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Solution

The fourth proportional to 174.55, 261.64 and 58.95 is: 88.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.55 : 261.64 = 58.95 : x
  2. Step 2: Convert to fraction form
    174.55/261.64 = 58.95/x
  3. Step 3: Cross multiply
    174.55x = 261.64 × 58.95
  4. Step 4: Simplify right side
    174.55x = 15,423.38
  5. Step 5: Solve for x
    x = 15,423.38/174.55
  6. Step 6: Final answer
    x = 88.36

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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.