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Finding the Fourth Proportional to 65, 89.58 and 47.54

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Solution

The fourth proportional to 65, 89.58 and 47.54 is: 65.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 89.58 = 47.54 : x
  2. Step 2: Convert to fraction form
    65/89.58 = 47.54/x
  3. Step 3: Cross multiply
    65x = 89.58 × 47.54
  4. Step 4: Simplify right side
    65x = 4,258.63
  5. Step 5: Solve for x
    x = 4,258.63/65
  6. Step 6: Final answer
    x = 65.52

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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.