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Finding the Fourth Proportional to 157.15, 216.84 and 94.99

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Solution

The fourth proportional to 157.15, 216.84 and 94.99 is: 131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 216.84 = 94.99 : x
  2. Step 2: Convert to fraction form
    157.15/216.84 = 94.99/x
  3. Step 3: Cross multiply
    157.15x = 216.84 × 94.99
  4. Step 4: Simplify right side
    157.15x = 20,597.63
  5. Step 5: Solve for x
    x = 20,597.63/157.15
  6. Step 6: Final answer
    x = 131.07

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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.