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Finding the Fourth Proportional to 78.06, 116.94 and 75.51

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Solution

The fourth proportional to 78.06, 116.94 and 75.51 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 116.94 = 75.51 : x
  2. Step 2: Convert to fraction form
    78.06/116.94 = 75.51/x
  3. Step 3: Cross multiply
    78.06x = 116.94 × 75.51
  4. Step 4: Simplify right side
    78.06x = 8,830.14
  5. Step 5: Solve for x
    x = 8,830.14/78.06
  6. Step 6: Final answer
    x = 113.12

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Why These Related Problems?

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