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Finding the Fourth Proportional to 46.47, 70.08 and 45.63

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Solution

The fourth proportional to 46.47, 70.08 and 45.63 is: 68.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.47 : 70.08 = 45.63 : x
  2. Step 2: Convert to fraction form
    46.47/70.08 = 45.63/x
  3. Step 3: Cross multiply
    46.47x = 70.08 × 45.63
  4. Step 4: Simplify right side
    46.47x = 3,197.75
  5. Step 5: Solve for x
    x = 3,197.75/46.47
  6. Step 6: Final answer
    x = 68.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.