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Finding the Fourth Proportional to 167.51, 251.10 and 59.24

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Solution

The fourth proportional to 167.51, 251.10 and 59.24 is: 88.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.51 : 251.10 = 59.24 : x
  2. Step 2: Convert to fraction form
    167.51/251.10 = 59.24/x
  3. Step 3: Cross multiply
    167.51x = 251.10 × 59.24
  4. Step 4: Simplify right side
    167.51x = 14,875.16
  5. Step 5: Solve for x
    x = 14,875.16/167.51
  6. Step 6: Final answer
    x = 88.80

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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.