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Finding the Fourth Proportional to 52.64, 72.65 and 31.93

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Solution

The fourth proportional to 52.64, 72.65 and 31.93 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.64 : 72.65 = 31.93 : x
  2. Step 2: Convert to fraction form
    52.64/72.65 = 31.93/x
  3. Step 3: Cross multiply
    52.64x = 72.65 × 31.93
  4. Step 4: Simplify right side
    52.64x = 2,319.37
  5. Step 5: Solve for x
    x = 2,319.37/52.64
  6. Step 6: Final answer
    x = 44.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.