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Finding the Fourth Proportional to 114.70, 171.55 and 102.60

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Solution

The fourth proportional to 114.70, 171.55 and 102.60 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.70 : 171.55 = 102.60 : x
  2. Step 2: Convert to fraction form
    114.70/171.55 = 102.60/x
  3. Step 3: Cross multiply
    114.70x = 171.55 × 102.60
  4. Step 4: Simplify right side
    114.70x = 17,601.03
  5. Step 5: Solve for x
    x = 17,601.03/114.70
  6. Step 6: Final answer
    x = 153.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.