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Finding the Fourth Proportional to 157.02, 216.71 and 98.81

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Solution

The fourth proportional to 157.02, 216.71 and 98.81 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 216.71 = 98.81 : x
  2. Step 2: Convert to fraction form
    157.02/216.71 = 98.81/x
  3. Step 3: Cross multiply
    157.02x = 216.71 × 98.81
  4. Step 4: Simplify right side
    157.02x = 21,411.54
  5. Step 5: Solve for x
    x = 21,411.54/157.02
  6. Step 6: Final answer
    x = 136.36

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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.