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Finding the Fourth Proportional to 174.47, 261.74 and 58.93

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Solution

The fourth proportional to 174.47, 261.74 and 58.93 is: 88.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.47 : 261.74 = 58.93 : x
  2. Step 2: Convert to fraction form
    174.47/261.74 = 58.93/x
  3. Step 3: Cross multiply
    174.47x = 261.74 × 58.93
  4. Step 4: Simplify right side
    174.47x = 15,424.34
  5. Step 5: Solve for x
    x = 15,424.34/174.47
  6. Step 6: Final answer
    x = 88.41

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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.