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Finding the Fourth Proportional to 46.72, 70.14 and 35.32

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Solution

The fourth proportional to 46.72, 70.14 and 35.32 is: 53.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.72 : 70.14 = 35.32 : x
  2. Step 2: Convert to fraction form
    46.72/70.14 = 35.32/x
  3. Step 3: Cross multiply
    46.72x = 70.14 × 35.32
  4. Step 4: Simplify right side
    46.72x = 2,477.34
  5. Step 5: Solve for x
    x = 2,477.34/46.72
  6. Step 6: Final answer
    x = 53.03

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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.