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Finding the Fourth Proportional to 47.02, 64.90 and 36.08

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Solution

The fourth proportional to 47.02, 64.90 and 36.08 is: 49.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.90 = 36.08 : x
  2. Step 2: Convert to fraction form
    47.02/64.90 = 36.08/x
  3. Step 3: Cross multiply
    47.02x = 64.90 × 36.08
  4. Step 4: Simplify right side
    47.02x = 2,341.59
  5. Step 5: Solve for x
    x = 2,341.59/47.02
  6. Step 6: Final answer
    x = 49.80

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Why These Related Problems?

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