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Finding the Fourth Proportional to 46.83, 70.29 and 42.24

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Solution

The fourth proportional to 46.83, 70.29 and 42.24 is: 63.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.83 : 70.29 = 42.24 : x
  2. Step 2: Convert to fraction form
    46.83/70.29 = 42.24/x
  3. Step 3: Cross multiply
    46.83x = 70.29 × 42.24
  4. Step 4: Simplify right side
    46.83x = 2,969.05
  5. Step 5: Solve for x
    x = 2,969.05/46.83
  6. Step 6: Final answer
    x = 63.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.