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Finding the Fourth Proportional to 75.02, 102.96 and 67.07

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Solution

The fourth proportional to 75.02, 102.96 and 67.07 is: 92.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 102.96 = 67.07 : x
  2. Step 2: Convert to fraction form
    75.02/102.96 = 67.07/x
  3. Step 3: Cross multiply
    75.02x = 102.96 × 67.07
  4. Step 4: Simplify right side
    75.02x = 6,905.53
  5. Step 5: Solve for x
    x = 6,905.53/75.02
  6. Step 6: Final answer
    x = 92.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.