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Finding the Fourth Proportional to 117.74, 162.51 and 106.20

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Solution

The fourth proportional to 117.74, 162.51 and 106.20 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.74 : 162.51 = 106.20 : x
  2. Step 2: Convert to fraction form
    117.74/162.51 = 106.20/x
  3. Step 3: Cross multiply
    117.74x = 162.51 × 106.20
  4. Step 4: Simplify right side
    117.74x = 17,257.94
  5. Step 5: Solve for x
    x = 17,257.94/117.74
  6. Step 6: Final answer
    x = 146.58

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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.