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Finding the Fourth Proportional to 164.24, 246.48 and 86.07

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Solution

The fourth proportional to 164.24, 246.48 and 86.07 is: 129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 246.48 = 86.07 : x
  2. Step 2: Convert to fraction form
    164.24/246.48 = 86.07/x
  3. Step 3: Cross multiply
    164.24x = 246.48 × 86.07
  4. Step 4: Simplify right side
    164.24x = 21,214.10
  5. Step 5: Solve for x
    x = 21,214.10/164.24
  6. Step 6: Final answer
    x = 129.17

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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.