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Finding the Fourth Proportional to 65.46, 97.58 and 64.50

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Solution

The fourth proportional to 65.46, 97.58 and 64.50 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 97.58 = 64.50 : x
  2. Step 2: Convert to fraction form
    65.46/97.58 = 64.50/x
  3. Step 3: Cross multiply
    65.46x = 97.58 × 64.50
  4. Step 4: Simplify right side
    65.46x = 6,293.59
  5. Step 5: Solve for x
    x = 6,293.59/65.46
  6. Step 6: Final answer
    x = 96.14

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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.