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Finding the Fourth Proportional to 114.53, 157.74 and 96.09

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Solution

The fourth proportional to 114.53, 157.74 and 96.09 is: 132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.53 : 157.74 = 96.09 : x
  2. Step 2: Convert to fraction form
    114.53/157.74 = 96.09/x
  3. Step 3: Cross multiply
    114.53x = 157.74 × 96.09
  4. Step 4: Simplify right side
    114.53x = 15,157.24
  5. Step 5: Solve for x
    x = 15,157.24/114.53
  6. Step 6: Final answer
    x = 132.35

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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.