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Finding the Fourth Proportional to 114.48, 157.62 and 97.83

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Solution

The fourth proportional to 114.48, 157.62 and 97.83 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.48 : 157.62 = 97.83 : x
  2. Step 2: Convert to fraction form
    114.48/157.62 = 97.83/x
  3. Step 3: Cross multiply
    114.48x = 157.62 × 97.83
  4. Step 4: Simplify right side
    114.48x = 15,419.96
  5. Step 5: Solve for x
    x = 15,419.96/114.48
  6. Step 6: Final answer
    x = 134.70

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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.