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Finding the Fourth Proportional to 52.35, 72.13 and 46.07

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Solution

The fourth proportional to 52.35, 72.13 and 46.07 is: 63.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.35 : 72.13 = 46.07 : x
  2. Step 2: Convert to fraction form
    52.35/72.13 = 46.07/x
  3. Step 3: Cross multiply
    52.35x = 72.13 × 46.07
  4. Step 4: Simplify right side
    52.35x = 3,322.80
  5. Step 5: Solve for x
    x = 3,322.80/52.35
  6. Step 6: Final answer
    x = 63.47

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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.