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Finding the Fourth Proportional to 164.61, 226.89 and 117.91

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Solution

The fourth proportional to 164.61, 226.89 and 117.91 is: 162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 226.89 = 117.91 : x
  2. Step 2: Convert to fraction form
    164.61/226.89 = 117.91/x
  3. Step 3: Cross multiply
    164.61x = 226.89 × 117.91
  4. Step 4: Simplify right side
    164.61x = 26,752.89
  5. Step 5: Solve for x
    x = 26,752.89/164.61
  6. Step 6: Final answer
    x = 162.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.