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Finding the Fourth Proportional to 184.72, 277.20 and 70.72

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Solution

The fourth proportional to 184.72, 277.20 and 70.72 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 277.20 = 70.72 : x
  2. Step 2: Convert to fraction form
    184.72/277.20 = 70.72/x
  3. Step 3: Cross multiply
    184.72x = 277.20 × 70.72
  4. Step 4: Simplify right side
    184.72x = 19,603.58
  5. Step 5: Solve for x
    x = 19,603.58/184.72
  6. Step 6: Final answer
    x = 106.13

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