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Finding the Fourth Proportional to 157.25, 216.99 and 95.07

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Solution

The fourth proportional to 157.25, 216.99 and 95.07 is: 131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 216.99 = 95.07 : x
  2. Step 2: Convert to fraction form
    157.25/216.99 = 95.07/x
  3. Step 3: Cross multiply
    157.25x = 216.99 × 95.07
  4. Step 4: Simplify right side
    157.25x = 20,629.24
  5. Step 5: Solve for x
    x = 20,629.24/157.25
  6. Step 6: Final answer
    x = 131.19

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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.