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Finding the Fourth Proportional to 46.10, 70.37 and 46.10

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Solution

The fourth proportional to 46.10, 70.37 and 46.10 is: 70.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 70.37 = 46.10 : x
  2. Step 2: Convert to fraction form
    46.10/70.37 = 46.10/x
  3. Step 3: Cross multiply
    46.10x = 70.37 × 46.10
  4. Step 4: Simplify right side
    46.10x = 3,243.83
  5. Step 5: Solve for x
    x = 3,243.83/46.10
  6. Step 6: Final answer
    x = 70.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.