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Finding the Fourth Proportional to 174.63, 261.93 and 106.17

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Solution

The fourth proportional to 174.63, 261.93 and 106.17 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.63 : 261.93 = 106.17 : x
  2. Step 2: Convert to fraction form
    174.63/261.93 = 106.17/x
  3. Step 3: Cross multiply
    174.63x = 261.93 × 106.17
  4. Step 4: Simplify right side
    174.63x = 27,809.11
  5. Step 5: Solve for x
    x = 27,809.11/174.63
  6. Step 6: Final answer
    x = 159.25

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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.