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Finding the Fourth Proportional to 113.95, 157.31 and 101.64

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Solution

The fourth proportional to 113.95, 157.31 and 101.64 is: 140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.95 : 157.31 = 101.64 : x
  2. Step 2: Convert to fraction form
    113.95/157.31 = 101.64/x
  3. Step 3: Cross multiply
    113.95x = 157.31 × 101.64
  4. Step 4: Simplify right side
    113.95x = 15,989.45
  5. Step 5: Solve for x
    x = 15,989.45/113.95
  6. Step 6: Final answer
    x = 140.33

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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.