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Finding the Fourth Proportional to 157.02, 216.36 and 107.82

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Solution

The fourth proportional to 157.02, 216.36 and 107.82 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 216.36 = 107.82 : x
  2. Step 2: Convert to fraction form
    157.02/216.36 = 107.82/x
  3. Step 3: Cross multiply
    157.02x = 216.36 × 107.82
  4. Step 4: Simplify right side
    157.02x = 23,327.94
  5. Step 5: Solve for x
    x = 23,327.94/157.02
  6. Step 6: Final answer
    x = 148.57

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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.