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Finding the Fourth Proportional to 56.99, 78.60 and 42.01

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Solution

The fourth proportional to 56.99, 78.60 and 42.01 is: 57.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.99 : 78.60 = 42.01 : x
  2. Step 2: Convert to fraction form
    56.99/78.60 = 42.01/x
  3. Step 3: Cross multiply
    56.99x = 78.60 × 42.01
  4. Step 4: Simplify right side
    56.99x = 3,301.95
  5. Step 5: Solve for x
    x = 3,301.95/56.99
  6. Step 6: Final answer
    x = 57.94

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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.