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Finding the Fourth Proportional to 124.02, 184.86 and 114.30

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Solution

The fourth proportional to 124.02, 184.86 and 114.30 is: 170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 184.86 = 114.30 : x
  2. Step 2: Convert to fraction form
    124.02/184.86 = 114.30/x
  3. Step 3: Cross multiply
    124.02x = 184.86 × 114.30
  4. Step 4: Simplify right side
    124.02x = 21,129.50
  5. Step 5: Solve for x
    x = 21,129.50/124.02
  6. Step 6: Final answer
    x = 170.37

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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.