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Finding the Fourth Proportional to 117.93, 162.83 and 90.25

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Solution

The fourth proportional to 117.93, 162.83 and 90.25 is: 124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.93 : 162.83 = 90.25 : x
  2. Step 2: Convert to fraction form
    117.93/162.83 = 90.25/x
  3. Step 3: Cross multiply
    117.93x = 162.83 × 90.25
  4. Step 4: Simplify right side
    117.93x = 14,695.91
  5. Step 5: Solve for x
    x = 14,695.91/117.93
  6. Step 6: Final answer
    x = 124.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.