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Finding the Fourth Proportional to 51.24, 70.58 and 42.06

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Solution

The fourth proportional to 51.24, 70.58 and 42.06 is: 57.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 70.58 = 42.06 : x
  2. Step 2: Convert to fraction form
    51.24/70.58 = 42.06/x
  3. Step 3: Cross multiply
    51.24x = 70.58 × 42.06
  4. Step 4: Simplify right side
    51.24x = 2,968.59
  5. Step 5: Solve for x
    x = 2,968.59/51.24
  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.