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Finding the Fourth Proportional to 164, 245.66 and 72.59

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Solution

The fourth proportional to 164, 245.66 and 72.59 is: 108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.66 = 72.59 : x
  2. Step 2: Convert to fraction form
    164/245.66 = 72.59/x
  3. Step 3: Cross multiply
    164x = 245.66 × 72.59
  4. Step 4: Simplify right side
    164x = 17,832.46
  5. Step 5: Solve for x
    x = 17,832.46/164
  6. Step 6: Final answer
    x = 108.73

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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.