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Finding the Fourth Proportional to 53.16, 73.12 and 46.56

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Solution

The fourth proportional to 53.16, 73.12 and 46.56 is: 64.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 73.12 = 46.56 : x
  2. Step 2: Convert to fraction form
    53.16/73.12 = 46.56/x
  3. Step 3: Cross multiply
    53.16x = 73.12 × 46.56
  4. Step 4: Simplify right side
    53.16x = 3,404.47
  5. Step 5: Solve for x
    x = 3,404.47/53.16
  6. Step 6: Final answer
    x = 64.04

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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.