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Finding the Fourth Proportional to 47, 64.85 and 42.10

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Solution

The fourth proportional to 47, 64.85 and 42.10 is: 58.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 64.85 = 42.10 : x
  2. Step 2: Convert to fraction form
    47/64.85 = 42.10/x
  3. Step 3: Cross multiply
    47x = 64.85 × 42.10
  4. Step 4: Simplify right side
    47x = 2,730.19
  5. Step 5: Solve for x
    x = 2,730.19/47
  6. Step 6: Final answer
    x = 58.09

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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.