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Finding the Fourth Proportional to 65.63, 90.59 and 54.70

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Solution

The fourth proportional to 65.63, 90.59 and 54.70 is: 75.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.63 : 90.59 = 54.70 : x
  2. Step 2: Convert to fraction form
    65.63/90.59 = 54.70/x
  3. Step 3: Cross multiply
    65.63x = 90.59 × 54.70
  4. Step 4: Simplify right side
    65.63x = 4,955.27
  5. Step 5: Solve for x
    x = 4,955.27/65.63
  6. Step 6: Final answer
    x = 75.50

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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.