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Finding the Fourth Proportional to 114.50, 157.99 and 89.99

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Solution

The fourth proportional to 114.50, 157.99 and 89.99 is: 124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.50 : 157.99 = 89.99 : x
  2. Step 2: Convert to fraction form
    114.50/157.99 = 89.99/x
  3. Step 3: Cross multiply
    114.50x = 157.99 × 89.99
  4. Step 4: Simplify right side
    114.50x = 14,217.52
  5. Step 5: Solve for x
    x = 14,217.52/114.50
  6. Step 6: Final answer
    x = 124.17

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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.