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Finding the Fourth Proportional to 117.99, 162.95 and 105.77

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Solution

The fourth proportional to 117.99, 162.95 and 105.77 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 162.95 = 105.77 : x
  2. Step 2: Convert to fraction form
    117.99/162.95 = 105.77/x
  3. Step 3: Cross multiply
    117.99x = 162.95 × 105.77
  4. Step 4: Simplify right side
    117.99x = 17,233.88
  5. Step 5: Solve for x
    x = 17,233.88/117.99
  6. Step 6: Final answer
    x = 146.06

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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.