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Finding the Fourth Proportional to 114.44, 157.70 and 89.50

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Solution

The fourth proportional to 114.44, 157.70 and 89.50 is: 123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.44 : 157.70 = 89.50 : x
  2. Step 2: Convert to fraction form
    114.44/157.70 = 89.50/x
  3. Step 3: Cross multiply
    114.44x = 157.70 × 89.50
  4. Step 4: Simplify right side
    114.44x = 14,114.15
  5. Step 5: Solve for x
    x = 14,114.15/114.44
  6. Step 6: Final answer
    x = 123.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.