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Finding the Fourth Proportional to 117.83, 162.33 and 117.83

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Solution

The fourth proportional to 117.83, 162.33 and 117.83 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.83 : 162.33 = 117.83 : x
  2. Step 2: Convert to fraction form
    117.83/162.33 = 117.83/x
  3. Step 3: Cross multiply
    117.83x = 162.33 × 117.83
  4. Step 4: Simplify right side
    117.83x = 19,127.34
  5. Step 5: Solve for x
    x = 19,127.34/117.83
  6. Step 6: Final answer
    x = 162.33

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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.