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Finding the Fourth Proportional to 58.67, 80.51 and 53.20

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Solution

The fourth proportional to 58.67, 80.51 and 53.20 is: 73.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.67 : 80.51 = 53.20 : x
  2. Step 2: Convert to fraction form
    58.67/80.51 = 53.20/x
  3. Step 3: Cross multiply
    58.67x = 80.51 × 53.20
  4. Step 4: Simplify right side
    58.67x = 4,283.06
  5. Step 5: Solve for x
    x = 4,283.06/58.67
  6. Step 6: Final answer
    x = 73.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.