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Finding the Fourth Proportional to 157.27, 216.91 and 95.02

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Solution

The fourth proportional to 157.27, 216.91 and 95.02 is: 131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.27 : 216.91 = 95.02 : x
  2. Step 2: Convert to fraction form
    157.27/216.91 = 95.02/x
  3. Step 3: Cross multiply
    157.27x = 216.91 × 95.02
  4. Step 4: Simplify right side
    157.27x = 20,610.36
  5. Step 5: Solve for x
    x = 20,610.36/157.27
  6. Step 6: Final answer
    x = 131.05

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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.