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Finding the Fourth Proportional to 99.86, 150.24 and 59.31

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Solution

The fourth proportional to 99.86, 150.24 and 59.31 is: 89.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.86 : 150.24 = 59.31 : x
  2. Step 2: Convert to fraction form
    99.86/150.24 = 59.31/x
  3. Step 3: Cross multiply
    99.86x = 150.24 × 59.31
  4. Step 4: Simplify right side
    99.86x = 8,910.51
  5. Step 5: Solve for x
    x = 8,910.51/99.86
  6. Step 6: Final answer
    x = 89.23

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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.