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Finding the Fourth Proportional to 157.78, 217.68 and 99.52

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Solution

The fourth proportional to 157.78, 217.68 and 99.52 is: 137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 217.68 = 99.52 : x
  2. Step 2: Convert to fraction form
    157.78/217.68 = 99.52/x
  3. Step 3: Cross multiply
    157.78x = 217.68 × 99.52
  4. Step 4: Simplify right side
    157.78x = 21,663.51
  5. Step 5: Solve for x
    x = 21,663.51/157.78
  6. Step 6: Final answer
    x = 137.30

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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.