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Finding the Fourth Proportional to 157.83, 217.80 and 90.54

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Solution

The fourth proportional to 157.83, 217.80 and 90.54 is: 124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.83 : 217.80 = 90.54 : x
  2. Step 2: Convert to fraction form
    157.83/217.80 = 90.54/x
  3. Step 3: Cross multiply
    157.83x = 217.80 × 90.54
  4. Step 4: Simplify right side
    157.83x = 19,719.61
  5. Step 5: Solve for x
    x = 19,719.61/157.83
  6. Step 6: Final answer
    x = 124.94

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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.