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Finding the Fourth Proportional to 117.65, 162.24 and 76.21

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Solution

The fourth proportional to 117.65, 162.24 and 76.21 is: 105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.65 : 162.24 = 76.21 : x
  2. Step 2: Convert to fraction form
    117.65/162.24 = 76.21/x
  3. Step 3: Cross multiply
    117.65x = 162.24 × 76.21
  4. Step 4: Simplify right side
    117.65x = 12,364.31
  5. Step 5: Solve for x
    x = 12,364.31/117.65
  6. Step 6: Final answer
    x = 105.09

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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.