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Finding the Fourth Proportional to 45.60, 62.83 and 31.02

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Solution

The fourth proportional to 45.60, 62.83 and 31.02 is: 42.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.60 : 62.83 = 31.02 : x
  2. Step 2: Convert to fraction form
    45.60/62.83 = 31.02/x
  3. Step 3: Cross multiply
    45.60x = 62.83 × 31.02
  4. Step 4: Simplify right side
    45.60x = 1,948.83
  5. Step 5: Solve for x
    x = 1,948.83/45.60
  6. Step 6: Final answer
    x = 42.74

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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.