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Finding the Fourth Proportional to 127.24, 189.64 and 123.53

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Solution

The fourth proportional to 127.24, 189.64 and 123.53 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 189.64 = 123.53 : x
  2. Step 2: Convert to fraction form
    127.24/189.64 = 123.53/x
  3. Step 3: Cross multiply
    127.24x = 189.64 × 123.53
  4. Step 4: Simplify right side
    127.24x = 23,425.44
  5. Step 5: Solve for x
    x = 23,425.44/127.24
  6. Step 6: Final answer
    x = 184.11

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Why These Related Problems?

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