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Finding the Fourth Proportional to 64.59, 89.10 and 52.98

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Solution

The fourth proportional to 64.59, 89.10 and 52.98 is: 73.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.59 : 89.10 = 52.98 : x
  2. Step 2: Convert to fraction form
    64.59/89.10 = 52.98/x
  3. Step 3: Cross multiply
    64.59x = 89.10 × 52.98
  4. Step 4: Simplify right side
    64.59x = 4,720.52
  5. Step 5: Solve for x
    x = 4,720.52/64.59
  6. Step 6: Final answer
    x = 73.08

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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.