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Finding the Fourth Proportional to 56.42, 84.16 and 47.30

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Solution

The fourth proportional to 56.42, 84.16 and 47.30 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 84.16 = 47.30 : x
  2. Step 2: Convert to fraction form
    56.42/84.16 = 47.30/x
  3. Step 3: Cross multiply
    56.42x = 84.16 × 47.30
  4. Step 4: Simplify right side
    56.42x = 3,980.77
  5. Step 5: Solve for x
    x = 3,980.77/56.42
  6. Step 6: Final answer
    x = 70.56

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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.