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Finding the Fourth Proportional to 117.74, 162.41 and 106.07

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Solution

The fourth proportional to 117.74, 162.41 and 106.07 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.74 : 162.41 = 106.07 : x
  2. Step 2: Convert to fraction form
    117.74/162.41 = 106.07/x
  3. Step 3: Cross multiply
    117.74x = 162.41 × 106.07
  4. Step 4: Simplify right side
    117.74x = 17,225.49
  5. Step 5: Solve for x
    x = 17,225.49/117.74
  6. Step 6: Final answer
    x = 146.30

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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.