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Finding the Fourth Proportional to 164.60, 246.66 and 102.87

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Solution

The fourth proportional to 164.60, 246.66 and 102.87 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.60 : 246.66 = 102.87 : x
  2. Step 2: Convert to fraction form
    164.60/246.66 = 102.87/x
  3. Step 3: Cross multiply
    164.60x = 246.66 × 102.87
  4. Step 4: Simplify right side
    164.60x = 25,374.11
  5. Step 5: Solve for x
    x = 25,374.11/164.60
  6. Step 6: Final answer
    x = 154.16

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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.