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Finding the Fourth Proportional to 164, 245.76 and 91.84

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Solution

The fourth proportional to 164, 245.76 and 91.84 is: 137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.76 = 91.84 : x
  2. Step 2: Convert to fraction form
    164/245.76 = 91.84/x
  3. Step 3: Cross multiply
    164x = 245.76 × 91.84
  4. Step 4: Simplify right side
    164x = 22,570.60
  5. Step 5: Solve for x
    x = 22,570.60/164
  6. Step 6: Final answer
    x = 137.63

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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.