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Finding the Fourth Proportional to 58.62, 88.24 and 53.03

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Solution

The fourth proportional to 58.62, 88.24 and 53.03 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.62 : 88.24 = 53.03 : x
  2. Step 2: Convert to fraction form
    58.62/88.24 = 53.03/x
  3. Step 3: Cross multiply
    58.62x = 88.24 × 53.03
  4. Step 4: Simplify right side
    58.62x = 4,679.10
  5. Step 5: Solve for x
    x = 4,679.10/58.62
  6. Step 6: Final answer
    x = 79.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.