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Finding the Fourth Proportional to 157.06, 216.69 and 101.83

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Solution

The fourth proportional to 157.06, 216.69 and 101.83 is: 140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 216.69 = 101.83 : x
  2. Step 2: Convert to fraction form
    157.06/216.69 = 101.83/x
  3. Step 3: Cross multiply
    157.06x = 216.69 × 101.83
  4. Step 4: Simplify right side
    157.06x = 22,065.54
  5. Step 5: Solve for x
    x = 22,065.54/157.06
  6. Step 6: Final answer
    x = 140.49

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