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Finding the Fourth Proportional to 122.56, 183.76 and 41.35

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Solution

The fourth proportional to 122.56, 183.76 and 41.35 is: 62.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.56 : 183.76 = 41.35 : x
  2. Step 2: Convert to fraction form
    122.56/183.76 = 41.35/x
  3. Step 3: Cross multiply
    122.56x = 183.76 × 41.35
  4. Step 4: Simplify right side
    122.56x = 7,598.48
  5. Step 5: Solve for x
    x = 7,598.48/122.56
  6. Step 6: Final answer
    x = 62.00

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