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Finding the Fourth Proportional to 174.51, 261.63 and 66.24

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Solution

The fourth proportional to 174.51, 261.63 and 66.24 is: 99.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.51 : 261.63 = 66.24 : x
  2. Step 2: Convert to fraction form
    174.51/261.63 = 66.24/x
  3. Step 3: Cross multiply
    174.51x = 261.63 × 66.24
  4. Step 4: Simplify right side
    174.51x = 17,330.37
  5. Step 5: Solve for x
    x = 17,330.37/174.51
  6. Step 6: Final answer
    x = 99.31

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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.