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Finding the Fourth Proportional to 58.34, 87.57 and 47.06

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Solution

The fourth proportional to 58.34, 87.57 and 47.06 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.34 : 87.57 = 47.06 : x
  2. Step 2: Convert to fraction form
    58.34/87.57 = 47.06/x
  3. Step 3: Cross multiply
    58.34x = 87.57 × 47.06
  4. Step 4: Simplify right side
    58.34x = 4,120.61
  5. Step 5: Solve for x
    x = 4,120.61/58.34
  6. Step 6: Final answer
    x = 70.64

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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.