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Finding the Fourth Proportional to 117.84, 162.77 and 106.30

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Solution

The fourth proportional to 117.84, 162.77 and 106.30 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 162.77 = 106.30 : x
  2. Step 2: Convert to fraction form
    117.84/162.77 = 106.30/x
  3. Step 3: Cross multiply
    117.84x = 162.77 × 106.30
  4. Step 4: Simplify right side
    117.84x = 17,302.45
  5. Step 5: Solve for x
    x = 17,302.45/117.84
  6. Step 6: Final answer
    x = 146.83

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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.