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Finding the Fourth Proportional to 172.95, 238.80 and 123.85

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Solution

The fourth proportional to 172.95, 238.80 and 123.85 is: 171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.95 : 238.80 = 123.85 : x
  2. Step 2: Convert to fraction form
    172.95/238.80 = 123.85/x
  3. Step 3: Cross multiply
    172.95x = 238.80 × 123.85
  4. Step 4: Simplify right side
    172.95x = 29,574.10
  5. Step 5: Solve for x
    x = 29,574.10/172.95
  6. Step 6: Final answer
    x = 171.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.