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Finding the Fourth Proportional to 161.81, 242.64 and 93.32

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Solution

The fourth proportional to 161.81, 242.64 and 93.32 is: 139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.81 : 242.64 = 93.32 : x
  2. Step 2: Convert to fraction form
    161.81/242.64 = 93.32/x
  3. Step 3: Cross multiply
    161.81x = 242.64 × 93.32
  4. Step 4: Simplify right side
    161.81x = 22,641.60
  5. Step 5: Solve for x
    x = 22,641.60/161.81
  6. Step 6: Final answer
    x = 139.93

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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.