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Finding the Fourth Proportional to 187.02, 280.54 and 71.45

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Solution

The fourth proportional to 187.02, 280.54 and 71.45 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.02 : 280.54 = 71.45 : x
  2. Step 2: Convert to fraction form
    187.02/280.54 = 71.45/x
  3. Step 3: Cross multiply
    187.02x = 280.54 × 71.45
  4. Step 4: Simplify right side
    187.02x = 20,044.23
  5. Step 5: Solve for x
    x = 20,044.23/187.02
  6. Step 6: Final answer
    x = 107.18

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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.