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Finding the Fourth Proportional to 117.81, 162.56 and 102.33

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Solution

The fourth proportional to 117.81, 162.56 and 102.33 is: 141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.81 : 162.56 = 102.33 : x
  2. Step 2: Convert to fraction form
    117.81/162.56 = 102.33/x
  3. Step 3: Cross multiply
    117.81x = 162.56 × 102.33
  4. Step 4: Simplify right side
    117.81x = 16,635.02
  5. Step 5: Solve for x
    x = 16,635.02/117.81
  6. Step 6: Final answer
    x = 141.20

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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.