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Finding the Fourth Proportional to 64.95, 96.93 and 55.95

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Solution

The fourth proportional to 64.95, 96.93 and 55.95 is: 83.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.95 : 96.93 = 55.95 : x
  2. Step 2: Convert to fraction form
    64.95/96.93 = 55.95/x
  3. Step 3: Cross multiply
    64.95x = 96.93 × 55.95
  4. Step 4: Simplify right side
    64.95x = 5,423.23
  5. Step 5: Solve for x
    x = 5,423.23/64.95
  6. Step 6: Final answer
    x = 83.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.