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Finding the Fourth Proportional to 157.95, 218.03 and 99.77

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Solution

The fourth proportional to 157.95, 218.03 and 99.77 is: 137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.95 : 218.03 = 99.77 : x
  2. Step 2: Convert to fraction form
    157.95/218.03 = 99.77/x
  3. Step 3: Cross multiply
    157.95x = 218.03 × 99.77
  4. Step 4: Simplify right side
    157.95x = 21,751.26
  5. Step 5: Solve for x
    x = 21,751.26/157.95
  6. Step 6: Final answer
    x = 137.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.