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Finding the Fourth Proportional to 164.34, 226.70 and 102.16

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Solution

The fourth proportional to 164.34, 226.70 and 102.16 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.34 : 226.70 = 102.16 : x
  2. Step 2: Convert to fraction form
    164.34/226.70 = 102.16/x
  3. Step 3: Cross multiply
    164.34x = 226.70 × 102.16
  4. Step 4: Simplify right side
    164.34x = 23,159.67
  5. Step 5: Solve for x
    x = 23,159.67/164.34
  6. Step 6: Final answer
    x = 140.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.