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Finding the Fourth Proportional to 76.02, 114.12 and 70.80

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Solution

The fourth proportional to 76.02, 114.12 and 70.80 is: 106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.02 : 114.12 = 70.80 : x
  2. Step 2: Convert to fraction form
    76.02/114.12 = 70.80/x
  3. Step 3: Cross multiply
    76.02x = 114.12 × 70.80
  4. Step 4: Simplify right side
    76.02x = 8,079.70
  5. Step 5: Solve for x
    x = 8,079.70/76.02
  6. Step 6: Final answer
    x = 106.28

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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.