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Finding the Fourth Proportional to 59.71, 89.48 and 45.13

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Solution

The fourth proportional to 59.71, 89.48 and 45.13 is: 67.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.71 : 89.48 = 45.13 : x
  2. Step 2: Convert to fraction form
    59.71/89.48 = 45.13/x
  3. Step 3: Cross multiply
    59.71x = 89.48 × 45.13
  4. Step 4: Simplify right side
    59.71x = 4,038.23
  5. Step 5: Solve for x
    x = 4,038.23/59.71
  6. Step 6: Final answer
    x = 67.63

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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.