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Finding the Fourth Proportional to 157.36, 236.06 and 49.14

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Solution

The fourth proportional to 157.36, 236.06 and 49.14 is: 73.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 236.06 = 49.14 : x
  2. Step 2: Convert to fraction form
    157.36/236.06 = 49.14/x
  3. Step 3: Cross multiply
    157.36x = 236.06 × 49.14
  4. Step 4: Simplify right side
    157.36x = 11,599.99
  5. Step 5: Solve for x
    x = 11,599.99/157.36
  6. Step 6: Final answer
    x = 73.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.