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Finding the Fourth Proportional to 46.08, 63.48 and 42.84

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Solution

The fourth proportional to 46.08, 63.48 and 42.84 is: 59.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.08 : 63.48 = 42.84 : x
  2. Step 2: Convert to fraction form
    46.08/63.48 = 42.84/x
  3. Step 3: Cross multiply
    46.08x = 63.48 × 42.84
  4. Step 4: Simplify right side
    46.08x = 2,719.48
  5. Step 5: Solve for x
    x = 2,719.48/46.08
  6. Step 6: Final answer
    x = 59.02

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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.