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Finding the Fourth Proportional to 47.01, 64.45 and 46.32

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Solution

The fourth proportional to 47.01, 64.45 and 46.32 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.01 : 64.45 = 46.32 : x
  2. Step 2: Convert to fraction form
    47.01/64.45 = 46.32/x
  3. Step 3: Cross multiply
    47.01x = 64.45 × 46.32
  4. Step 4: Simplify right side
    47.01x = 2,985.24
  5. Step 5: Solve for x
    x = 2,985.24/47.01
  6. Step 6: Final answer
    x = 63.50

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Why These Related Problems?

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