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Finding the Fourth Proportional to 75.36, 113.10 and 65.23

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Solution

The fourth proportional to 75.36, 113.10 and 65.23 is: 97.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 113.10 = 65.23 : x
  2. Step 2: Convert to fraction form
    75.36/113.10 = 65.23/x
  3. Step 3: Cross multiply
    75.36x = 113.10 × 65.23
  4. Step 4: Simplify right side
    75.36x = 7,377.51
  5. Step 5: Solve for x
    x = 7,377.51/75.36
  6. Step 6: Final answer
    x = 97.90

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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.