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Finding the Fourth Proportional to 127.59, 189.75 and 123.54

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Solution

The fourth proportional to 127.59, 189.75 and 123.54 is: 183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.59 : 189.75 = 123.54 : x
  2. Step 2: Convert to fraction form
    127.59/189.75 = 123.54/x
  3. Step 3: Cross multiply
    127.59x = 189.75 × 123.54
  4. Step 4: Simplify right side
    127.59x = 23,441.10
  5. Step 5: Solve for x
    x = 23,441.10/127.59
  6. Step 6: Final answer
    x = 183.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.