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Finding the Fourth Proportional to 52.77, 72.74 and 45.02

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Solution

The fourth proportional to 52.77, 72.74 and 45.02 is: 62.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.77 : 72.74 = 45.02 : x
  2. Step 2: Convert to fraction form
    52.77/72.74 = 45.02/x
  3. Step 3: Cross multiply
    52.77x = 72.74 × 45.02
  4. Step 4: Simplify right side
    52.77x = 3,274.75
  5. Step 5: Solve for x
    x = 3,274.75/52.77
  6. Step 6: Final answer
    x = 62.06

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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.