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Finding the Fourth Proportional to 123.51, 184.72 and 72.02

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Solution

The fourth proportional to 123.51, 184.72 and 72.02 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 184.72 = 72.02 : x
  2. Step 2: Convert to fraction form
    123.51/184.72 = 72.02/x
  3. Step 3: Cross multiply
    123.51x = 184.72 × 72.02
  4. Step 4: Simplify right side
    123.51x = 13,303.53
  5. Step 5: Solve for x
    x = 13,303.53/123.51
  6. Step 6: Final answer
    x = 107.71

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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.