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Finding the Fourth Proportional to 114.93, 157.84 and 96.48

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Solution

The fourth proportional to 114.93, 157.84 and 96.48 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.93 : 157.84 = 96.48 : x
  2. Step 2: Convert to fraction form
    114.93/157.84 = 96.48/x
  3. Step 3: Cross multiply
    114.93x = 157.84 × 96.48
  4. Step 4: Simplify right side
    114.93x = 15,228.16
  5. Step 5: Solve for x
    x = 15,228.16/114.93
  6. Step 6: Final answer
    x = 132.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.