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Finding the Fourth Proportional to 58.95, 88.42 and 16.20

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Solution

The fourth proportional to 58.95, 88.42 and 16.20 is: 24.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.95 : 88.42 = 16.20 : x
  2. Step 2: Convert to fraction form
    58.95/88.42 = 16.20/x
  3. Step 3: Cross multiply
    58.95x = 88.42 × 16.20
  4. Step 4: Simplify right side
    58.95x = 1,432.32
  5. Step 5: Solve for x
    x = 1,432.32/58.95
  6. Step 6: Final answer
    x = 24.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.