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Finding the Fourth Proportional to 164.66, 247.02 and 68.47

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Solution

The fourth proportional to 164.66, 247.02 and 68.47 is: 102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 247.02 = 68.47 : x
  2. Step 2: Convert to fraction form
    164.66/247.02 = 68.47/x
  3. Step 3: Cross multiply
    164.66x = 247.02 × 68.47
  4. Step 4: Simplify right side
    164.66x = 16,913.46
  5. Step 5: Solve for x
    x = 16,913.46/164.66
  6. Step 6: Final answer
    x = 102.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.