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Finding the Fourth Proportional to 114.42, 157.87 and 89.83

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Solution

The fourth proportional to 114.42, 157.87 and 89.83 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.42 : 157.87 = 89.83 : x
  2. Step 2: Convert to fraction form
    114.42/157.87 = 89.83/x
  3. Step 3: Cross multiply
    114.42x = 157.87 × 89.83
  4. Step 4: Simplify right side
    114.42x = 14,181.46
  5. Step 5: Solve for x
    x = 14,181.46/114.42
  6. Step 6: Final answer
    x = 123.94

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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.