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Finding the Fourth Proportional to 114.02, 157.01 and 96.56

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Solution

The fourth proportional to 114.02, 157.01 and 96.56 is: 132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.02 : 157.01 = 96.56 : x
  2. Step 2: Convert to fraction form
    114.02/157.01 = 96.56/x
  3. Step 3: Cross multiply
    114.02x = 157.01 × 96.56
  4. Step 4: Simplify right side
    114.02x = 15,159.62
  5. Step 5: Solve for x
    x = 15,159.62/114.02
  6. Step 6: Final answer
    x = 132.96

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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.