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Finding the Fourth Proportional to 164.31, 245.97 and 106.32

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Solution

The fourth proportional to 164.31, 245.97 and 106.32 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 245.97 = 106.32 : x
  2. Step 2: Convert to fraction form
    164.31/245.97 = 106.32/x
  3. Step 3: Cross multiply
    164.31x = 245.97 × 106.32
  4. Step 4: Simplify right side
    164.31x = 26,151.53
  5. Step 5: Solve for x
    x = 26,151.53/164.31
  6. Step 6: Final answer
    x = 159.16

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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.