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Finding the Fourth Proportional to 117.86, 176.34 and 102.84

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Solution

The fourth proportional to 117.86, 176.34 and 102.84 is: 153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 176.34 = 102.84 : x
  2. Step 2: Convert to fraction form
    117.86/176.34 = 102.84/x
  3. Step 3: Cross multiply
    117.86x = 176.34 × 102.84
  4. Step 4: Simplify right side
    117.86x = 18,134.81
  5. Step 5: Solve for x
    x = 18,134.81/117.86
  6. Step 6: Final answer
    x = 153.87

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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.