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Finding the Fourth Proportional to 53.16, 73.14 and 46.68

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Solution

The fourth proportional to 53.16, 73.14 and 46.68 is: 64.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 73.14 = 46.68 : x
  2. Step 2: Convert to fraction form
    53.16/73.14 = 46.68/x
  3. Step 3: Cross multiply
    53.16x = 73.14 × 46.68
  4. Step 4: Simplify right side
    53.16x = 3,414.18
  5. Step 5: Solve for x
    x = 3,414.18/53.16
  6. Step 6: Final answer
    x = 64.22

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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.