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Finding the Fourth Proportional to 99.77, 150.26 and 75.89

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Solution

The fourth proportional to 99.77, 150.26 and 75.89 is: 114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.77 : 150.26 = 75.89 : x
  2. Step 2: Convert to fraction form
    99.77/150.26 = 75.89/x
  3. Step 3: Cross multiply
    99.77x = 150.26 × 75.89
  4. Step 4: Simplify right side
    99.77x = 11,403.23
  5. Step 5: Solve for x
    x = 11,403.23/99.77
  6. Step 6: Final answer
    x = 114.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.