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Finding the Fourth Proportional to 47.04, 70.17 and 43.77

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Solution

The fourth proportional to 47.04, 70.17 and 43.77 is: 65.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.04 : 70.17 = 43.77 : x
  2. Step 2: Convert to fraction form
    47.04/70.17 = 43.77/x
  3. Step 3: Cross multiply
    47.04x = 70.17 × 43.77
  4. Step 4: Simplify right side
    47.04x = 3,071.34
  5. Step 5: Solve for x
    x = 3,071.34/47.04
  6. Step 6: Final answer
    x = 65.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.