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Finding the Fourth Proportional to 53.76, 74.07 and 42.83

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Solution

The fourth proportional to 53.76, 74.07 and 42.83 is: 59.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 74.07 = 42.83 : x
  2. Step 2: Convert to fraction form
    53.76/74.07 = 42.83/x
  3. Step 3: Cross multiply
    53.76x = 74.07 × 42.83
  4. Step 4: Simplify right side
    53.76x = 3,172.05
  5. Step 5: Solve for x
    x = 3,172.05/53.76
  6. Step 6: Final answer
    x = 59.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.