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Finding the Fourth Proportional to 47.02, 64.61 and 45.46

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Solution

The fourth proportional to 47.02, 64.61 and 45.46 is: 62.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.61 = 45.46 : x
  2. Step 2: Convert to fraction form
    47.02/64.61 = 45.46/x
  3. Step 3: Cross multiply
    47.02x = 64.61 × 45.46
  4. Step 4: Simplify right side
    47.02x = 2,937.17
  5. Step 5: Solve for x
    x = 2,937.17/47.02
  6. Step 6: Final answer
    x = 62.47

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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.