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Finding the Fourth Proportional to 105.71, 157.62 and 98.40

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Solution

The fourth proportional to 105.71, 157.62 and 98.40 is: 146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 157.62 = 98.40 : x
  2. Step 2: Convert to fraction form
    105.71/157.62 = 98.40/x
  3. Step 3: Cross multiply
    105.71x = 157.62 × 98.40
  4. Step 4: Simplify right side
    105.71x = 15,509.81
  5. Step 5: Solve for x
    x = 15,509.81/105.71
  6. Step 6: Final answer
    x = 146.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.