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Finding the Fourth Proportional to 155.95, 234.02 and 64.63

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Solution

The fourth proportional to 155.95, 234.02 and 64.63 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.95 : 234.02 = 64.63 : x
  2. Step 2: Convert to fraction form
    155.95/234.02 = 64.63/x
  3. Step 3: Cross multiply
    155.95x = 234.02 × 64.63
  4. Step 4: Simplify right side
    155.95x = 15,124.71
  5. Step 5: Solve for x
    x = 15,124.71/155.95
  6. Step 6: Final answer
    x = 96.98

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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.