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Finding the Fourth Proportional to 83.90, 124.76 and 83.00

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Solution

The fourth proportional to 83.90, 124.76 and 83.00 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.90 : 124.76 = 83.00 : x
  2. Step 2: Convert to fraction form
    83.90/124.76 = 83.00/x
  3. Step 3: Cross multiply
    83.90x = 124.76 × 83.00
  4. Step 4: Simplify right side
    83.90x = 10,354.35
  5. Step 5: Solve for x
    x = 10,354.35/83.90
  6. Step 6: Final answer
    x = 123.42

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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.