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Finding the Fourth Proportional to 187.69, 281.46 and 70.53

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Solution

The fourth proportional to 187.69, 281.46 and 70.53 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 281.46 = 70.53 : x
  2. Step 2: Convert to fraction form
    187.69/281.46 = 70.53/x
  3. Step 3: Cross multiply
    187.69x = 281.46 × 70.53
  4. Step 4: Simplify right side
    187.69x = 19,851.37
  5. Step 5: Solve for x
    x = 19,851.37/187.69
  6. Step 6: Final answer
    x = 105.77

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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.