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Finding the Fourth Proportional to 65.04, 97.56 and 47.02

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Solution

The fourth proportional to 65.04, 97.56 and 47.02 is: 70.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.04 : 97.56 = 47.02 : x
  2. Step 2: Convert to fraction form
    65.04/97.56 = 47.02/x
  3. Step 3: Cross multiply
    65.04x = 97.56 × 47.02
  4. Step 4: Simplify right side
    65.04x = 4,587.03
  5. Step 5: Solve for x
    x = 4,587.03/65.04
  6. Step 6: Final answer
    x = 70.53

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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.