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Finding the Fourth Proportional to 58.93, 88.24 and 52.40

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Solution

The fourth proportional to 58.93, 88.24 and 52.40 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.93 : 88.24 = 52.40 : x
  2. Step 2: Convert to fraction form
    58.93/88.24 = 52.40/x
  3. Step 3: Cross multiply
    58.93x = 88.24 × 52.40
  4. Step 4: Simplify right side
    58.93x = 4,623.47
  5. Step 5: Solve for x
    x = 4,623.47/58.93
  6. Step 6: Final answer
    x = 78.46

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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.