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Finding the Fourth Proportional to 155.79, 214.86 and 114.48

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Solution

The fourth proportional to 155.79, 214.86 and 114.48 is: 157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.79 : 214.86 = 114.48 : x
  2. Step 2: Convert to fraction form
    155.79/214.86 = 114.48/x
  3. Step 3: Cross multiply
    155.79x = 214.86 × 114.48
  4. Step 4: Simplify right side
    155.79x = 24,597.17
  5. Step 5: Solve for x
    x = 24,597.17/155.79
  6. Step 6: Final answer
    x = 157.89

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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.