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Finding the Fourth Proportional to 78.03, 116.98 and 76.07

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Solution

The fourth proportional to 78.03, 116.98 and 76.07 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.03 : 116.98 = 76.07 : x
  2. Step 2: Convert to fraction form
    78.03/116.98 = 76.07/x
  3. Step 3: Cross multiply
    78.03x = 116.98 × 76.07
  4. Step 4: Simplify right side
    78.03x = 8,898.77
  5. Step 5: Solve for x
    x = 8,898.77/78.03
  6. Step 6: Final answer
    x = 114.04

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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.