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Finding the Fourth Proportional to 53.16, 73.59 and 52.24

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Solution

The fourth proportional to 53.16, 73.59 and 52.24 is: 72.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 73.59 = 52.24 : x
  2. Step 2: Convert to fraction form
    53.16/73.59 = 52.24/x
  3. Step 3: Cross multiply
    53.16x = 73.59 × 52.24
  4. Step 4: Simplify right side
    53.16x = 3,844.34
  5. Step 5: Solve for x
    x = 3,844.34/53.16
  6. Step 6: Final answer
    x = 72.32

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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.