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Finding the Fourth Proportional to 105.99, 157.86 and 99.32

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Solution

The fourth proportional to 105.99, 157.86 and 99.32 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.99 : 157.86 = 99.32 : x
  2. Step 2: Convert to fraction form
    105.99/157.86 = 99.32/x
  3. Step 3: Cross multiply
    105.99x = 157.86 × 99.32
  4. Step 4: Simplify right side
    105.99x = 15,677.87
  5. Step 5: Solve for x
    x = 15,677.87/105.99
  6. Step 6: Final answer
    x = 147.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.