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Finding the Fourth Proportional to 64.24, 88.62 and 52.58

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Solution

The fourth proportional to 64.24, 88.62 and 52.58 is: 72.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.24 : 88.62 = 52.58 : x
  2. Step 2: Convert to fraction form
    64.24/88.62 = 52.58/x
  3. Step 3: Cross multiply
    64.24x = 88.62 × 52.58
  4. Step 4: Simplify right side
    64.24x = 4,659.64
  5. Step 5: Solve for x
    x = 4,659.64/64.24
  6. Step 6: Final answer
    x = 72.53

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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.