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Finding the Fourth Proportional to 59.10, 88.59 and 30.19

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Solution

The fourth proportional to 59.10, 88.59 and 30.19 is: 45.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 88.59 = 30.19 : x
  2. Step 2: Convert to fraction form
    59.10/88.59 = 30.19/x
  3. Step 3: Cross multiply
    59.10x = 88.59 × 30.19
  4. Step 4: Simplify right side
    59.10x = 2,674.59
  5. Step 5: Solve for x
    x = 2,674.59/59.10
  6. Step 6: Final answer
    x = 45.26

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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.