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Finding the Fourth Proportional to 47.34, 64.98 and 43.20

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Solution

The fourth proportional to 47.34, 64.98 and 43.20 is: 59.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 64.98 = 43.20 : x
  2. Step 2: Convert to fraction form
    47.34/64.98 = 43.20/x
  3. Step 3: Cross multiply
    47.34x = 64.98 × 43.20
  4. Step 4: Simplify right side
    47.34x = 2,807.14
  5. Step 5: Solve for x
    x = 2,807.14/47.34
  6. Step 6: Final answer
    x = 59.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.