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Finding the Fourth Proportional to 124.02, 185.76 and 83.40

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Solution

The fourth proportional to 124.02, 185.76 and 83.40 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 185.76 = 83.40 : x
  2. Step 2: Convert to fraction form
    124.02/185.76 = 83.40/x
  3. Step 3: Cross multiply
    124.02x = 185.76 × 83.40
  4. Step 4: Simplify right side
    124.02x = 15,492.38
  5. Step 5: Solve for x
    x = 15,492.38/124.02
  6. Step 6: Final answer
    x = 124.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.