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Finding the Fourth Proportional to 75.23, 113.00 and 58.05

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Solution

The fourth proportional to 75.23, 113.00 and 58.05 is: 87.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.23 : 113.00 = 58.05 : x
  2. Step 2: Convert to fraction form
    75.23/113.00 = 58.05/x
  3. Step 3: Cross multiply
    75.23x = 113.00 × 58.05
  4. Step 4: Simplify right side
    75.23x = 6,559.36
  5. Step 5: Solve for x
    x = 6,559.36/75.23
  6. Step 6: Final answer
    x = 87.19

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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.