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Finding the Fourth Proportional to 157.94, 237.02 and 111.64

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Solution

The fourth proportional to 157.94, 237.02 and 111.64 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.94 : 237.02 = 111.64 : x
  2. Step 2: Convert to fraction form
    157.94/237.02 = 111.64/x
  3. Step 3: Cross multiply
    157.94x = 237.02 × 111.64
  4. Step 4: Simplify right side
    157.94x = 26,460.21
  5. Step 5: Solve for x
    x = 26,460.21/157.94
  6. Step 6: Final answer
    x = 167.53

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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.