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Finding the Fourth Proportional to 46.95, 70.41 and 31.02

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Solution

The fourth proportional to 46.95, 70.41 and 31.02 is: 46.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.95 : 70.41 = 31.02 : x
  2. Step 2: Convert to fraction form
    46.95/70.41 = 31.02/x
  3. Step 3: Cross multiply
    46.95x = 70.41 × 31.02
  4. Step 4: Simplify right side
    46.95x = 2,184.12
  5. Step 5: Solve for x
    x = 2,184.12/46.95
  6. Step 6: Final answer
    x = 46.52

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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.