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Finding the Fourth Proportional to 113.83, 157.08 and 63.35

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Solution

The fourth proportional to 113.83, 157.08 and 63.35 is: 87.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.83 : 157.08 = 63.35 : x
  2. Step 2: Convert to fraction form
    113.83/157.08 = 63.35/x
  3. Step 3: Cross multiply
    113.83x = 157.08 × 63.35
  4. Step 4: Simplify right side
    113.83x = 9,950.88
  5. Step 5: Solve for x
    x = 9,950.88/113.83
  6. Step 6: Final answer
    x = 87.42

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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.