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Finding the Fourth Proportional to 114.09, 157.44 and 64.96

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Solution

The fourth proportional to 114.09, 157.44 and 64.96 is: 89.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 157.44 = 64.96 : x
  2. Step 2: Convert to fraction form
    114.09/157.44 = 64.96/x
  3. Step 3: Cross multiply
    114.09x = 157.44 × 64.96
  4. Step 4: Simplify right side
    114.09x = 10,227.30
  5. Step 5: Solve for x
    x = 10,227.30/114.09
  6. Step 6: Final answer
    x = 89.64

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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.