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Finding the Fourth Proportional to 157.97, 237.15 and 100.01

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Solution

The fourth proportional to 157.97, 237.15 and 100.01 is: 150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 237.15 = 100.01 : x
  2. Step 2: Convert to fraction form
    157.97/237.15 = 100.01/x
  3. Step 3: Cross multiply
    157.97x = 237.15 × 100.01
  4. Step 4: Simplify right side
    157.97x = 23,716.19
  5. Step 5: Solve for x
    x = 23,716.19/157.97
  6. Step 6: Final answer
    x = 150.14

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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.