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Finding the Fourth Proportional to 93.13, 139.78 and 78.85

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Solution

The fourth proportional to 93.13, 139.78 and 78.85 is: 118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.13 : 139.78 = 78.85 : x
  2. Step 2: Convert to fraction form
    93.13/139.78 = 78.85/x
  3. Step 3: Cross multiply
    93.13x = 139.78 × 78.85
  4. Step 4: Simplify right side
    93.13x = 11,021.65
  5. Step 5: Solve for x
    x = 11,021.65/93.13
  6. Step 6: Final answer
    x = 118.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.