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Finding the Fourth Proportional to 64.29, 88.59 and 52.02

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Solution

The fourth proportional to 64.29, 88.59 and 52.02 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.29 : 88.59 = 52.02 : x
  2. Step 2: Convert to fraction form
    64.29/88.59 = 52.02/x
  3. Step 3: Cross multiply
    64.29x = 88.59 × 52.02
  4. Step 4: Simplify right side
    64.29x = 4,608.45
  5. Step 5: Solve for x
    x = 4,608.45/64.29
  6. Step 6: Final answer
    x = 71.68

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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.