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Finding the Fourth Proportional to 53.03, 73.00 and 45.62

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Solution

The fourth proportional to 53.03, 73.00 and 45.62 is: 62.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.03 : 73.00 = 45.62 : x
  2. Step 2: Convert to fraction form
    53.03/73.00 = 45.62/x
  3. Step 3: Cross multiply
    53.03x = 73.00 × 45.62
  4. Step 4: Simplify right side
    53.03x = 3,330.43
  5. Step 5: Solve for x
    x = 3,330.43/53.03
  6. Step 6: Final answer
    x = 62.81

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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.