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Finding the Fourth Proportional to 60.26, 90.31 and 31.35

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Solution

The fourth proportional to 60.26, 90.31 and 31.35 is: 46.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.26 : 90.31 = 31.35 : x
  2. Step 2: Convert to fraction form
    60.26/90.31 = 31.35/x
  3. Step 3: Cross multiply
    60.26x = 90.31 × 31.35
  4. Step 4: Simplify right side
    60.26x = 2,831.22
  5. Step 5: Solve for x
    x = 2,831.22/60.26
  6. Step 6: Final answer
    x = 46.98

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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.